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quantumcomputing/38735_7bf989aafa8e9796_342.txt | A class of exact multi-component constant intensity solutions to a vector nonlinear Schrödinger (NLS) system in the presence of an external PT-symmetric complex potential is constructed. This type of uniform wave pattern displays a non-trivial phase whose spatial dependence is induced by the lattice structure. In this... |
quantumcomputing/630e6cf4_3964.txt | The dispersion relation remains quasi-linear up to ∼±4 eV from the Fermi energy.141 It is therefore possible to generate charge carriers in graphene by optically stimulating inter-band transitions over a wide energy spectrum, unmatched by any other material. This includes commercially important telecommunication wavele... |
quantumcomputing/4628_f9ab73a74dab0c06_442.txt | Chad Nusbaum, Michael C. Zody, Mark L. Borowsky, Michael Kamal, Chinnappa D. Kodira, Todd D. Taylor, Charles A. Whittaker, Jean L. Chang, Christina A. Cuomo, Ken Dewar, Michael G. FitzGerald, Xiaoping Yang, Amr Abouelleil, Nicole R. Allen, Scott Anderson, Toby Bloom, Boris Bugalter, Jonathan Butler, April Cook, David D... |
quantumcomputing/3960_96169d905c875778_366.txt | There is no need to engage me as a witness once they understand that these people had a ‘pipeline’ they were using for disposal of complaints long before I came along. And how easy is it to exploit the “emergency provisions” when you can “edit” documented legal narratives post hoc as was done with my documents provided... |
quantumcomputing/e90fbe45_1753.txt | QuEra a neutral atom-based QC available on Braket. It is a Rydberg atom qubit that utilizes rubidium ion. The operation/gates are applied using laser beams. |
quantumcomputing/26329_ff7da9bf12314062_117.txt | Quantum gate operations are performed by braiding, and it requires moving the anyons. We can achieve this by adiabatically tuning the chemical potential (μ). By adjusting the chemical potential, we can even make one nanowire behave like multiple segments of Majorana wires. By locally tuning the chemical potential, we c... |
quantumcomputing/0ff9abdf_123827.txt | One possible breakdown: text Toffoli (c_1,c_2;t) can be done with an ancilla via a couple of CNOTs and T gates, or without ancilla using a specific sequence of CNOT, T, T dagger , and H gates. For practical circuits, minimizing Toffoli count or cost is a big part of quantum circuit optimization if implementing... |
quantumcomputing/13334_db9c0f2f4b6f960d_828.txt | We define the relearning cycle index $i\_{ReL}$ and the average split function $\bar{f}\_{ReL}$ of the source energy exploitation by and for the neural networks. We propose an optimized learning strategy which depend on a fixed relearning cycle index $i\_{ReL}$ and a fixed average split function $\bar{f}\_{ReL}$. In pr... |
quantumcomputing/5147_2ed2d1df17fe28a3_45.txt | Yoni #61: To make a long story short, in QM, two “nearby” branches of the wavefunction can reconverge, in which case interference happens, which is the whole way we know QM is true in the first place! By contrast, for Second Law of Thermodynamics reasons, we don’t expect “faraway” branches to recombine between now and ... |
quantumcomputing/9b9cdd7f_5256.txt | Whether you’re a scientist, tech enthusiast, innovator, or simply curious about quantum computing, The Coherence Times offers in‑depth discussions on quantum mechanics, computing challenges, and industry‑changing breakthroughs. New episodes every other Tuesday at 7 AM ET. |
quantumcomputing/9904_7ae05d4adf606362_172.txt | where I = (i1 , . . . , ik ) and J = (j1 , . . . , jn−k ) are two complementary multi-indices, i.e., I ∪ J = {1, . . . , n}. The equivalence class of w in Sn /(Sk × Sn−k ) has a unique representative with I = (i1 < · · · < ik ) and J = (j1 < · · · < jn−k ) both strictly increasing. By Theorem 11(ii), the rational equiv... |
quantumcomputing/38735_4268de2ba98204ef_293.txt | Cosmology is most typically analyzed using standard co-moving coordinates, in which the galaxies are (on average, up to presumably small peculiar velocities) "at rest", while "space" is expanding. But this is merely a specific coordinate choice; and it is important to realise that for certain purposes other, (sometimes... |
quantumcomputing/9339_a38937c5090409ef_772.txt | which establishes that the decryption is successful when M is co-prime to n. Suppose next that M is not co-prime to n, so that one or both of p and q divide M . To be specific, we consider the case where p divides M and q does not divide M ; the other possible cases requre only minor modifications. Because p divides M we... |
quantumcomputing/34011_a5801def072ec91c_142.txt | Should one reduce “\(A\) is true” to “\(A\) is provable” or “\(A\) has been proved”? This introduces in Dummett’s rearticulation of intuitionism what Raatikainen (2004) calls the distinction between the actualist and possibilist conceptions of truth. To endorse the actualist view is to introduce tense in mathematics, a... |
quantumcomputing/24212_8f631342375c1193_200.txt | The possible existence of a Bose-condensed supersolid state in solid 4He was first suggested over 40 years ago by Chester, Andreev and Lifshitz, and Leggett. The first experimental evidence for the supersolid has appeared only recently with the torsional oscillator experiments of Kim and Chan where they observed, at lo... |
quantumcomputing/32894_979fc1e5faab2aa1_121.txt | Image restoration involves recovering a high-quality image from its corrupted counterpart. This paper presents an effective and efficient framework for image restoration, termed CSNet, based on “channel + spatial" hybrid frequency modulation. Different feature channels include different degradation patterns and degrees... |
quantumcomputing/27984_723fd0fbfe5d7a11_149.txt | Quantum systems can not be efficiently simulated classically due to the presence of entanglement and nonstabilizerness, also known as quantum magic. Here we study the generation of magic under evolution by a quantum circuit. To be able to provide exact solutions, we focus on the dual-unitary XXZ model and a measure of ... |
quantumcomputing/dcee44ce_6270.txt | The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. |
quantumcomputing/22087_69ca229ec5299de3_1154.txt | We propose a term structure power price model that, in contrast to widely accepted no-arbitrage based approaches, accounts for the non-storable nature of power. It belongs to a class of equilibrium game theoretic models with players divided into producers and consumers. The consumers' goal is to maximize a mean-varianc... |
quantumcomputing/17418_c2c01ebb412339b8_85.txt | Bottom Line We’ve seen that by triggering a quantum circuit with judiciously connected H gates, we can get the mega-qubit to hold qubelet combinations representing all possible states of the qubits in a quantum circuit. In this chapter, we learned to further manipulate the mega-qubit of quantum states in ways that have... |
quantumcomputing/8337_01340d24a5dea1fa_212.txt | * Presenter: Michel Janssen, University of Minnesota * Host: Allan Franklin * Abstract: In early 1927, Paul Dirac and Pascual Jordan, independently of one another, published their versions of a general formalism tying the various forms of the new quantum theory together and giving the theory's statistical interpretatio... |
quantumcomputing/22108_db9c0f2f4b6f960d_2735.txt | Vast amounts of data clearly demonstrate discrepancies between the observed dynamics, in large astronomical systems, and the predicted dynamics by Newtonian gravity and general relativity. The appearance of these discrepancies has two possible explanations: either these systems contain large quantities of a new kind of... |
quantumcomputing/1875_65715e72c3890fa6_4.txt | * By Metro - Audi Field is located near the Navy Yard metro station and is accessible on the Green line. The st transfer point is LâEnfant Plaza. Hours of operation, fares, and delay information can be found at their website, wmata.com. * By Bus - Audi Field is accessible by the 74 and P6 Metrobus lines. For more inf... |
quantumcomputing/9339_2ed2d1df17fe28a3_294.txt | “Suppose I’m designing a new universe from scratch—if we like, to be run inside my computer. I will be the God of this new universe. Please walk me through, in detail, all the considerations that would militate for or against putting quantum mechanics into my universe. Don’t talk to me in philosophical generalities, bu... |
quantumcomputing/16776_5e68663f418490bf_193.txt | Peer review assignment algorithms aim to match research papers to suitable expert reviewers, working to maximize the quality of the resulting reviews. A key challenge in designing effective assignment policies is evaluating how changes to the assignment algorithm map to changes in review quality. In this work, we lever... |
quantumcomputing/1e5eff0f_13643.txt | We’ll begin with viewing a state vector for a Bell state. We should be getting fairly familiar with creating these simple circuits. The code for our Bell state is shown below. The above code calls the draw method on the Statevector object and returns an IPython Latex object for display within a Jupyter notebook. To acc... |
quantumcomputing/7613f6cd_120446.txt | sub_kets np.round(ket_t tuple(ind) , 15) for ind in patterns ps np.array(list(map(np.linalg.norm, sub_kets))) 2 indices np.array( np.array(np.nonzero(sub_ket)).T for sub_ket in sub_kets ) print( The indices of the nonzero components for the six different postselections are n , indices, ) The successful p... |
quantumcomputing/22108_c2c01ebb412339b8_103.txt | Quantum Gate Matrices Are Square Quantum gates are always square matrices. That is, the matrices have the same number of rows and columns. The reason for this property stems from the way that vectors are column selectors of matrices. When a matrix is multiplied by a vector, an element of a vector selects the correspond... |
quantumcomputing/37355_e4427061f6aeb8f8_164.txt | Show that, if E 0 (ρ) = I ⊗n , then pa ≤ 2−2n for each a. Hint: Note that E has an operator sum representation with Kraus operators {σ(x)/2n } and that E 0 has an operator sum √ representation with Kraus operators { pa U a }. Furthermore E = E 0 . Therefore, there exists an M × M unitary √ matrix Vax (where M = max(N, ... |
quantumcomputing/8729_23e9aeec4fe3bb40_885.txt | The affective melodies played by neural orchestras will be dominated by interoceptive modalities, the most ancient—both developmentally and evolutionarily speaking—and reliable indicators of homeostatic and reproductive potential. Do we have relaxed and dynamic cardiac rhythms? Is our breathing easy or forced? Do we fe... |
quantumcomputing/2299_711ee6ad93290ccf_24.txt | When the matrices \(P\_1,..., P\_m\) are given as Fig. 13 and the matrices are converted to \(R\_i\) according to equations (3)\(\scriptstyle \sim\)(5), the size of the *n* converted matrices \(R\_i\) (\(0 \le i <n\)) is (\(n \times m\)) as shown in Fig. 14. The information in the first layer exists from \(R\_1\) to \(... |
quantumcomputing/9f88f46f_117629.txt | a b c d e f g h i j k Williams, Colin P. (2011). Explorations in Quantum Computing. Springer. ISBN 978-1-84628-887-6. a b c d e f g Barenco, Adriano; Bennett, Charles H.; Cleve, Richard; DiVincenzo, David P.; Margolus, Norman; Shor, Peter; Sleator, Tycho; Smolin, John A.; Weinfurter, Harald (1995-11-01). Elementary ... |
quantumcomputing/25808_5d069ec7f060495f_5.txt | with \(\phi \_0\) the magnetic flux quantum [55"), 56")]. Therefore, also the qubit frequency (\(\nu \_{01} = \sqrt{8E\_{J}E\_{C}}-E\_{C}\)) can be tuned by changing \(\phi \). Specifically, by engineering flux pulses one can implement a \(R\_z(\pi )\) gate on the target qubit when the control qubit is in the excited s... |
quantumcomputing/6436_723fd0fbfe5d7a11_268.txt | ``` @article{bombin2023modular, author = {Bomb{\'i}n, H{\'e}ctor and Dawson, Chris and Liu, Ye-Hua and Nickerson, Naomi and Pastawski, Fernando and Roberts, Sam}, title = {{Modular decoding: parallelizable real-time decoding for quantum computers}}, year = {2023}, journal = {arXiv preprint arXiv:2303.04846}, urldate = ... |
quantumcomputing/38735_4268de2ba98204ef_176.txt | We generalize recent results regarding the phase space of the mass deformed $E\_1$ fixed point to a full class of five-dimensional superconformal field theories, known as $X\_{1,N}$. As in the $E\_1$ case, a phase transition occurs as a supersymmetry preserving and a supersymmetry breaking mass deformations are appropr... |
quantumcomputing/16776_5e68663f418490bf_8.txt | Computational predictions of mass spectra from molecules have enabled the discovery of clinically relevant metabolites. However, such predictive tools are still limited as they occupy one of two extremes, either operating (a) by fragmenting molecules combinatorially with overly rigid constraints on potential rearrangem... |
quantumcomputing/18150_f34b35c816d9118c_19.txt | **Superposition:** These quantum particles or Qubits may exist as both 0 and 1 at the same time. This is a phenomenon known as *Superposition*. Essentially, this means that a particle can exist in multiple quantum states and when placed under supervision, i.e. when we try to measure its position, it undergoes change an... |
quantumcomputing/22108_db9c0f2f4b6f960d_1806.txt | The Newtonian mechanic and contemporary physics model the non-circular orbital systems on all scales as essentially conservative, d-path zero-work systems and circumvent the obvious contradictions (rotor-free ‘field’ of ‘force’, in spite of its inverse proportionality to squared time-varying distance) by exploiting bot... |
quantumcomputing/ab4cf8f0_122243.txt | If you simulate 30 or more qubits, you'll need terabytes of RAM or an optimized distributed system to handle the state vectors. Processing time grows proportionally with the state vector size. Classical CPUs alone are rarely sufficient for advanced Grover simulations . That's why quantum developers increasingly rely on... |
quantumcomputing/e059722d_121082.txt | The path integral formulation of quantum field theory represents the transition amplitude (corresponding to the classical correlation function) as a weighted sum of all possible histories of the system from the initial to the final state. A Feynman diagram is a graphical representation of a perturbative contribution to... |
quantumcomputing/8729_23e9aeec4fe3bb40_827.txt | Equaminity as a cultivatable skill of learning to not interfere with what is by acceptance seems to be a special case of symmetrification and symmetrifications in general seem to cultivate wellbeing if they make long lasting symmetrifying changes. Some symmetrifications such as fast sugar come at the cost of possible o... |
quantumcomputing/13334_67f8b1e0a14f9fbd_130.txt | What we have concerning the Busy Beaver problem are (perhaps implicit) proofs of upper and lower bounds on runtime of particular small machines. If the proofs are done in consistent proof systems, and the systems are consistent with each other (e.g., can all be unified within ZF), then these bounds will be consistent w... |
quantumcomputing/10115_89d726a9f93da8d2_17.txt | Like everyone else, I bore witness to lurid speculations and talking heads. I visited blathernodes, soaked myself in other people's opinions. That was nothing new, as far as it went; I'd spent my whole life as a sort of alien ethologist in my own right, watching the world behave, gleaning patterns and protocols, learni... |
quantumcomputing/2270_2ed2d1df17fe28a3_242.txt | In my previous comment about the constraints that the existence of QM puts on a universe with Einsteinian gravity, I mentioned that in such a world the averaged energy conditions are expected to be valid, so that world is probably causally stable, but I omitted some other obvious related implications: For example, Hawk... |
quantumcomputing/24212_9915b8a334b5d087_6.txt | | Publish Date | Title | Authors | PDF | Code | | --- | --- | --- | --- | --- | | **2006-12-13** | **Probabilities of failure for quantum error correction** | A. J. Scott et.al. | quant-ph/0406063 | null | | **2005-09-17** | **An Introduction to Quantum Error Correction** | Daniel Gottesman et.al. | quant-ph/0004072 | ... |
quantumcomputing/e1e8ca1d_119187.txt | The Toffoli gate, named after Tommaso Toffoli and also called the CCNOT gate or Deutsch gate D ( π 2 ) displaystyle D( pi 2) , is a 3-bit gate that is universal for classical computation but not for quantum computation. The quantum Toffoli gate is the same gate, defined for 3 qubits. If we limit ourselves to only... |
quantumcomputing/32894_1996e1986c60b184_317.txt | Taxonomies describe the definitions of entities, entities' attributes and the relations among the entities, and thus play an important role in building a knowledge graph. In this paper, we tackle the task of taxonomy entity translation, which is to translate the names of taxonomy entities in a source language to a targ... |
quantumcomputing/4693_34b0ba78ddd01800_213.txt | For photons, one can think of individual, trapped, atoms that interact with the photons on their way from the source to the screen, as in Scully and Drühl (1982. Quantum eraser: A proposed photon correlation experiment concerning observation and “delayed choice” in quantum mechanics. Physical Review A, 25, 2208–2213.")... |
quantumcomputing/22108_db9c0f2f4b6f960d_1686.txt | The neutrosophic set (NS) is a more general platform which generalizes the concept of crisp, fuzzy, and intuitionistic fuzzy sets to describe the membership functions in terms of truth, indeterminacy, and false degree. Under this environment, the present paper proposes an improved score function for ranking the single ... |
quantumcomputing/4628_98bc330e6ca89479_499.txt | Deutsch-Jozsa algorithm (as in Exercise 7.13). The quantum-optical Fredkin gate was first described by Yamamoto, Kitagawa, and Igetat YKI88 ] and Milburnr Mll89a l. The single photon generation and detection technology required for an optical quantum computer has been discussed by Imamoglu and Yamamotol 1 Y94 J and by ... |
quantumcomputing/24212_b745cf4a986576b6_344.txt | The rapid growth of the quantum industry has brought about a shift in the need to efficiently train the next generation of scientists and engineers, to address the challenges of further developing quantum computers. As part of its multi-pronged approach to drive the quantum computing industry forward and address the de... |
quantumcomputing/2258_ba4096302e7b1742_563.txt | ``` @article{gong_equivalence_2017, author = {Gong, Xiaoyan and Wang, Quanlong}, title = {{Equivalence of Local Complementation and Euler Decomposition in the Qutrit ZX-calculus}}, year = {2017}, journal = {arXiv:1704.05955 [quant-ph]}, month = {apr}, urldate = {2017-04-19}, link = {http://arxiv.org/abs/1704.05955}, ke... |
quantumcomputing/22087_69ca229ec5299de3_1060.txt | The existence, stability, and bifurcation structure of localized radially symmetric solutions to the Swift--Hohenberg equation is explored both numerically through continuation and analytically through the use of geometric blow-up techniques. The bifurcation structure for these solutions is elucidated by formally treat... |
quantumcomputing/22087_4268de2ba98204ef_175.txt | We analyze the structure of scattering amplitudes of the Kaluza-Klein (KK) gravitons and of the KK gravitational Goldstone bosons in the compactified 5d General Relativity (GR). Using a general $R\_{\xi}$ gauge-fixing, we study the geometric Higgs mechanism for the massive spin-2 KK gravitons. We newly propose and prov... |
quantumcomputing/5fddd6c3_12764.txt | Add this session to my calendar Date: Tuesday, 1 April 2025Time: 14:00 CEST - 18:00 CESTLocation / Room: St Clair 2 Organisers:Ian O'Connor, École Centrale de Lyon, FRMichael Niemier, University of Notre Dame, USXunzhao Yin, Zhejiang University, CNStefan Slesazeck, NaMLab, DE Speakers:Christopher Hinkle, University of ... |
quantumcomputing/8729_6b5eb0c4e42e043c_28.txt | Incidentally, there's a debate raging even today between atom- ists and anti-atomists. At issue in this debate is whether space and time themselves are made up of indivisible atoms, at the Planck scale of 10 -33 cm or 10 -43 s. Once again, the physicists have very little experimental evidence to go on, and are basicall... |
quantumcomputing/441ab1f0_123987.txt | Because the only effect is a phase on 11 rangle , the controlled-phase gate is symmetric with respect to control and target (sometimes it's even called a CZ( theta ) to emphasize this symmetry). Swapping the two qubits doesn't change the operation - it simply means apply phase theta if both qubits are 1.... |
quantumcomputing/22959e86_7651.txt | The new qml.liealg module provides a variety of Lie algebra functionality: Compute the dynamical Lie algebra from a set of generators with qml.lie_closure. This function accepts and outputs matrices when matrix=True. import pennylane as qml from pennylane import X, Y, Z, I n = 2 gens = [qml.X(0), qml.X(0) @ qml.X(1), q... |
quantumcomputing/75724dca_9770.txt | Presenting Author: Dominic Messina, Sandia National LaboratoriesContributing Author(s): Helen Durand, Alicia Magann, Mohan Sarovar There is currently significant interest in developing new algorithms and applications for quantum computers. Over the last decade, hybrid quantum-classical algorithms based on parameterized... |
quantumcomputing/24212_b745cf4a986576b6_106.txt | In this presentation, recent work to extend upon previously published XPS data and curve-fitting procedures will be detailed for a wide range of high-purity zinc- and cadmium-containing compounds. This will include a summary of current literature data, with careful exclusion of any sources that contain issues related t... |
quantumcomputing/22108_db9c0f2f4b6f960d_478.txt | Consider non-cooperative pen games where both players act strategically and heavily influence each other. In spam and malware detection, players exploit randomization to obfuscate malicious data and increase their chances of evading detection at test time. The result shows Pen-PL Games have a probability distribution t... |
quantumcomputing/175_40094682244c3a83_1736.txt | Graph neural networks, a popular class of models effective in a wide range of graph-based learning tasks, have been shown to be vulnerable to adversarial attacks. While the majority of the literature focuses on such vulnerability in node-level classification tasks, little effort has been dedicated to analysing adversar... |
quantumcomputing/be095733_115583.txt | begin split q rangle begin bmatrix alpha_0 alpha_1 vdots alpha_ N-1 end bmatrix , text such that: ; alpha_j in mathbb C , ; text and ; sum_ j 0 N-1 alpha_j 2 1 . end split |
quantumcomputing/17418_c2c01ebb412339b8_92.txt | Thus, cos (θ / 2) is the amplitude of | 0⟩, and e sin (θ / 2) is the amplitude of | 1⟩. Note that i = −1 is the imaginary or complex number. If you want to understand why this equation represents the quantum state of a qubit as well as how the complex number i is involved, see Appendix 2, From Qubelets to the Bloch Sph... |
quantumcomputing/704eab01_5677.txt | QCL, or Quantum Computation Language, is the invention of Bernhard Ömer of the Vienna University of Technology. He began the project in 1998 and continues to extend and refine it. Ömer’s interpreter for the language (http://www.itp.tuwien.ac.at/~oemer/qcl.html) includes an emulator that runs quantum programs on classic... |
quantumcomputing/16341_86077d4a38b44b11_20.txt | [Quantum computing promises to enhance machine learning and artificial intelligence. Different quantum algorithms have been proposed to improve a wide spectrum of machine learning tasks. Yet, recent theoretical works show that, similar to traditional classifiers based on deep classical neural networks, quantum classifi... |
quantumcomputing/44116_58b87e4807ca5e69_87.txt | Over many rings Diophantine sets have several simple but useful properties. First of all, over any domain a union of finitely many Diophantine sets is Diophantine. (A product of finitely many Diophantine definitions is a Diophantine definition of a union.) With a little bit of effort one can also show that as long as t... |
quantumcomputing/1226_4503ad1eb65e514b_357.txt | Article ADS Google Scholar 79. Planck collaboration, N. Aghanim et al., Planck 2018 results. VI. Cosmological parameters. Astron. Astrophys. **641**, A6 (2020). . arXiv:1807.06209 80. P. Ade et al. (Simons Observatory Collaboration), The Simons Observatory: science goals and forecasts. JCAP **02**, 056 (2019). . arXiv:... |
quantumcomputing/f8402c23_119097.txt | displaystyle x rangle x _ 1 x _ 2 ldots x _ n rangle x _ 1 rangle otimes x _ 2 rangle otimes cdots otimes x _ n rangle |
quantumcomputing/22087_4268de2ba98204ef_324.txt | Recent studies of quantum field theory in FLRW spacetime suggest that the cause of the speeding up of the universe is the running vacuum (RV). Appropriate renormalization of the energy-momentum tensor shows that the vacuum energy density is a smooth function of the Hubble rate and its derivatives: $\rho\_{\rm vac}=\rho... |
quantumcomputing/34011_a5801def072ec91c_889.txt | A daily calendar alone is not a clock unless it is connected to a regular process. It could be part of a clock in which daily progress along the calendar is measured by a process that regularly takes a day per cycle, such as the process of sunrise followed by sunset. A pendulum alone is not a clock because it has no co... |
quantumcomputing/ec35533d_9815.txt | Abeywardhana, Jayalath Abeywardhana Mudiyanselage Madawa (2018) Massively Parallel Computational Studies of Material Response at High Strain Rate Deformation Aboagye, Prince Osei (2018) On Numerical Stochastic Optimal Control via Bellman's Dynamic Programming Principle Abou-Fadel, Johnathan Salim (2018) Steroid- CoA Li... |
quantumcomputing/13334_db9c0f2f4b6f960d_773.txt | This short paper points out that the so-called diameter of the inflated universe, approximately Θ ≈ 8.8 × 10^26 m, basically is very to or perhaps even identical to what we can call the Hubble circumference: Θ ≈ 2πR = 2π×c/H , at a Hubble constant of 66 (km/s)/Mpc these values are identical. The question is if Ho thes... |
quantumcomputing/34011_a5801def072ec91c_2738.txt | Consider whether to believe in the axiom of choice. The *axiom of choice* is the assertion that, given any collection of non-empty and non-overlapping sets, there exists a ‘choice set’ which is composed of one element chosen from each set in the collection. However, the axiom does not say how to do the choosing. For so... |
quantumcomputing/4625_578753610752009e_197.txt | 8.7 The canonical ensemble Consider a system composed of three independent qubits. For each qubit, the energy levels are the standard basis states, with E0 = 0 and E1 = . The total energy for the three-qubit system ranges from 0 to 3. Suppose we know that the total energy is . The uniform density operator on this ei... |
quantumcomputing/34011_a5801def072ec91c_54.txt | It does not seem so. For S to make multiple observations, *x*’s shape must remain stable throughout. This would require adding a condition such as: “the shape of the object remains stable during the period of observation.” However, adding this condition presupposes that *x* has a determinate shape, F, that remains stab... |
quantumcomputing/3960_98c38b4b94bcbcbd_121.txt | ***Technical Note:*** *1-7.A.3.b. refers to systems in which ‘inertial measurement equipment or systems’ and other independent ‘positional aiding references’ are built into a single unit (i.e., embedded) in order to achieve improved performance.* * Designed for “aircraft”, land vehicles or vessels, providing heading or... |
quantumcomputing/14816_6b5eb0c4e42e043c_47.txt | Since Friedberg and Muchnik's breakthrough, the structure of the Turing degrees has been studied in more detail than you can pos- sibly imagine. Here's one of the simplest questions: if two problems A and B are both reducible to the halting problem, then must there be a problem C that's reducible to A and B, such that ... |
quantumcomputing/20712_189d5b93841f4e0f_111.txt | The National Institute for Health and Care Excellence is responsible for assessing most medicines launched in England, diagnostics, devices and digital products and creating clinical guidelines that identify the most clinically and cost-effective care. We’ll discuss how NICE assesses clinically and cost-effective care,... |
quantumcomputing/20712_f21f706356b21da2_103.txt | Tuning scientific and probabilistic machine learning models - for example, partial differential equations, Gaussian processes, or Bayesian neural networks - often relies on evaluating functions of matrices whose size grows with the data set or the number of parameters.While the state-of-the-art for *evaluating* these q... |
quantumcomputing/22108_db9c0f2f4b6f960d_602.txt | We discuss the two-slit experiment and the Aharonov-Bohm (AB) experiment in the magnetic field. The electron moving in magnetic field produces so called synchrotron radiation. In other words the photons are emitted from the points of the electron trajectory and it means that the trajectory of electron is visible in the... |
quantumcomputing/fe39351e_4484.txt | The CNOT (Controlled-NOT) gate is a two-qubit gate which operates on a control qubit \(|c\rangle \) and a target qubit \(|t\rangle \). When the control qubit is \(|0\rangle \), the CNOT gate leaves the target qubit unchanged: When the control qubit is \(|1\rangle \), the CNOT gate flips the target qubit: Thus if both q... |
quantumcomputing/34011_80ceca0747858829_83.txt | Alzheimer’s disease (AD) is a neurodegenerative disorder that affects around 55 million adults worldwide. The molecular and cellular mechanisms of AD are still poorly understood due to its complex etiology. The brain relies on complex cellular interactions between the neural and non-neural cells to maintain homeostasis... |
quantumcomputing/3960_0678c516274774e4_387.txt | “The names of Plato and Aristotle, among the ancients, and of Spinoza, Fichte, and Hegel, among the moderns, are omitted from this list because the question of their pantheism is with many still in dispute. As to Plato and Aristotle, of course the dispute is well founded, their position being more or less ambiguous, pr... |
quantumcomputing/9789_43c3a638e17725fa_201.txt | 1. Apurv Singh Gautam, Yamini Gahlot, and Pooja Kamat. Hacker forum exploit and classification for proactive cyber threat intelligence. In International Conference on Inventive Computation Technologies, pages 279–285. Springer, 2019. 2. Liang Guo, Senhao Wen, Dewei Wang, Shanbiao Wang, Qianxun Wang, and Hualin Liu. Ove... |
quantumcomputing/1226_184d3f0af3fe5585_13.txt | of particles in quantum computing, photons, have no mass at all; they are made up of pure energy. And it was Einstein himself who told us that matter and energy are equivalent, with his famous equation, E=mc2. To translate: The energy contained in solid matter equals its mass times the speed of light squared. The speed... |
quantumcomputing/16785_8ecc1c53b3b42b31_110.txt | This section shows how, by carefully choosing which bits to uncompute when, a reversible version of any classical computation can be achieved with only minor increases in the number of gates and bits. We show that any classical circuit using t gates and s bits, has a reversible counterpart using only 0(t 1+f ) gates an... |
quantumcomputing/22087_723fd0fbfe5d7a11_143.txt | This paper investigates the verification gap of Dynamic Quantum Circuits (DQC) by analyzing state-of-the-art equivalence ing approaches. Today’s Noisy Intermediate-Scale Quantum (NISQ) devices are limited in the number of qubits. DQCs drastically reduce the number of qubits required by guiding the outcome based on the ... |
quantumcomputing/33692_723fd0fbfe5d7a11_633.txt | ``` @mastersthesis{Mack2010Master, author = {Mack, David}, title = {{Linking Form and Function: A geometric investigation of Multi-partite graph states}}, year = {2010}, school = {University of Oxford}, urldate = {2010-09-01}, link = {http://www.cs.ox.ac.uk/people/bob.coecke/David.pdf}, keywords = {ZX-calculus, ZW-calc... |
quantumcomputing/13334_db9c0f2f4b6f960d_202.txt | In the landscape of mathematical inquiry, where the ancient and the modern intertwine, few problems captivate the imagination as profoundly as the Collatz conjecture and the quest for Pythagorean triples. The former, a puzzle that has defied solution since its inception in the 1930s by Lothar Collatz, asks us to consid... |
quantumcomputing/16785_8ecc1c53b3b42b31_228.txt | for all | c a ), \c b ) e C and Ej, Ej e £ such that/ ^ j, but this condition is stronger than necessary. If two different errors £j and £3 take a state |i jr) to the same state | \[r'), no matter which error occurred, applying e\ (or equally well e\) corrects the error. Condition 11.5 holds for many quantum codes, but... |
quantumcomputing/26329_e6eb321e4e9c903b_102.txt | 3.6 Question Order Models and Contextuality The quantum probability theory of judgement proposed in Busemeyer et al. (2011) and described in Sect. 3.1 is applied to question order effects in Wang et al. (2013). The question order effects are those taken from Moore (2002), outlined in Sect. 2.4. Consider the consistency... |
quantumcomputing/24212_723fd0fbfe5d7a11_309.txt | Unitary fusion categories formalise the algebraic theory of topological quantum computation. These categories come naturally enriched in a subcategory of the category of Hilbert spaces, and by looking at this subcategory, one can identify a collection of generators for implementing quantum computation. We represent suc... |
quantumcomputing/32894_fc39bbe803b856a5_68.txt | Recent works have shown increasing interest in using natural language-based user profiles for recommender systems, as they offer greater transparency and interpretability compared to traditional embedding-based methods. Most existing approaches rely on zero-shot inference with large language models (LLMs) to generate t... |
quantumcomputing/14472_a8a638dc956ff973_105.txt | 3.4.4 Multi-scale entanglement renormalisation ansatz (MERA). MERA288 is a powerful class of Tensor Networks which can be used to study gapless ground states and properties of systems near criticality. Despite its huge success in representing a wide variety of states, MPS is scalable only for gapped systems with expone... |
quantumcomputing/25925_723fd0fbfe5d7a11_313.txt | ``` @mastersthesis{Codsi2022Masters, author = {Codsi, Julien}, title = {{Cutting-Edge Graphical Stabiliser Decompositions for Classical Simulation of Quantum Circuits}}, year = {2022}, school = {University of Oxford}, urldate = {2022-10-19}, link = {https://www.cs.ox.ac.uk/people/aleks.kissinger/theses/codsi-thesis.pdf... |
quantumcomputing/8518_b973a5d791c69b9c_3.txt | One leading approach for combinatorial optimization on gate-based quantum computers is the Quantum Approximate Optimization Algorithm (QAOA) (Farhi et al., 2014), inspired by the quantum adiabatic theorem that is fundamental to quantum annealing (Farhi et al., 2000). QAOA is a hybrid quantum-classical algorithm that en... |
quantumcomputing/677e9c16_115762.txt | An important aspect about quantum computing is that, depending on the type of hardware implementation (e.g. superconducting qubits, ion traps, etc.), the gates available to construct our circuits is limited to a subset of operations known as the basis gate-set. A gate-set that can implement any other unitary with arbit... |
quantumcomputing/2328a46c_14539.txt | Our compilation framework (Fig. 1) starts from a target quantum algorithm and decomposes it into key algorithmic building blocks. Each of these building blocks are then further compiled into surface code transversal gate operations and explicit layouts, optimized for space-time efficiency. In the following sections, we... |
quantumcomputing/fe27de17_13026.txt | Poisson structures originate in the work of Lagrange and Poisson on the motion of planets in the solar system; the process of understanding them was long and it prompted the discovery of several fundamental concepts in mathematics, such as: Jacobi identity, Maurer-Cartan equations, etc. Poisson Geometry (the geometric ... |
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