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quantumcomputing/11be91ad_122921.txt | Michael Kreshchuk, Shaoyang Jia, William M. Kirby, Gary Goldstein, James P. Vary, and Peter J. Love, Simulating hadronic physics on noisy intermediate-scale quantum devices using basis light-front quantization , Physical Review A 103 6, 062601 (2021). |
quantumcomputing/8729_6b5eb0c4e42e043c_330.txt | Scott: Is BQP the end of the road, or is there more to be found? That's a fantastic question, and I wish more people would think about it. I'm being a bit of a politician here and not answering directly, because obvi- ously the answer is "I don't know." I guess the whole idea with science is that if we don't know the a... |
quantumcomputing/56f82164_14074.txt | This release contains contributions from (in alphabetical order): Andrija Paurevic |
quantumcomputing/2258_ba4096302e7b1742_6.txt | Quantum computing is an emerging computational paradigm with the potential to outperform classical computers in solving a variety of problems. To achieve this, quantum programs are typically represented as quantum circuits, which must be optimized and adapted for target hardware through quantum circuit compilation. We ... |
quantumcomputing/9e9516fe_126331.txt | In the actual implementation, the above construction process for τ ini subscript 𝜏 ini tau _ text ini italic _τ start _POSTSUBSCRIPT ini end _POSTSUBSCRIPT is achieved using a modified version of VF2. |
quantumcomputing/2565_a12e934e914a3a3e_0.txt | shana seven777 serval seriously seaways searay sdfsdf schnapps saxophon sandokan samhain sambuca salzburg ruffles rubble roxie rockstar1 robin123 robber rivaldo ripped ring resolute remedy regular redrock redone receiver raindrops raincoat qwertyu1 pursuit puppys pseudo primary press poopy pollard plaster plants pinky1... |
quantumcomputing/357d4226_125527.txt | What this means, informally, is that one shared ebit (meaning the entangled state 00 11 2 frac 00 rangle 11 rangle sqrt 2 2 0 0 1 1 ) together with two classical bits of communication is enough to enable one quantum bit of communication. It's teleportation-expressed-as-an-inequality. Bennett... |
quantumcomputing/13334_db9c0f2f4b6f960d_205.txt | As the title of this book suggests, it is about how intelligence may be understood as information compression (IC). More specifically, the book is about the {em SP Theory of Intelligenc} (SPTI) and its realisation in the {em SP Computer Model}---and their potential applications, benefits, and associated ideas. The SPTI... |
quantumcomputing/13334_db9c0f2f4b6f960d_3007.txt | In the model of low-energy quantum gravity by the author, cosmological redshifts are caused by interactions of photons with gravitons. Non-forehead collisions with gravitons will lead to an additional relaxation of any photonic flux. It gives a possibility of another interpretation of supernovae 1a data. Every massive ... |
quantumcomputing/33692_723fd0fbfe5d7a11_646.txt | ``` @inproceedings{DuncanPerdrixGraphStates, author = {Duncan, Ross and Perdrix, Simon}, title = {Graph states and the necessity of {Euler} decomposition}, year = {2009}, booktitle = {Conference on Computability in Europe}, pages = {167--177}, organization = {Springer}, doi = {10.1007/978-3-642-03073-4\_18}, urldate = ... |
quantumcomputing/2276_852f5d19995383a3_23.txt | In the expression above, NOT*l* means that the bit flip is applied to the *l*-th qubit and *j**l* = 0(1) if the *l*-th qubit is in state |0〉(|1〉) in the computational basis state |*j*〉. Alternatively, the same result can also be obtained by using an extra ancillary qubit and multi-controlled NOT gates (C*N*NOT), i.e., ... |
quantumcomputing/81904de2_124159.txt | Proof. Let a 0 ; a 1 , , a n p n q n . Since p i q i p i q i 0 , we can write a 0 ; a 1 , , a n p n q n p n 1 q n 1 p n 1 q n 1 p n 2 q n 2 p n 2 q n 2 p 1 q 1 p 0 q 0 p 0 q 0 Computing the differences results in a 0 ; a 1 , , a n p n q n 1 q n p n 1 q n q n 1... |
quantumcomputing/22087_69ca229ec5299de3_219.txt | This is a joint work with Michael Overton (Courant Institute, NYU). The epsilon-pseudospectral abscissa and radius of an n x n matrix are respectively the maximum real part and the maximal modulus of points in its epsilon-pseudospectrum. Existing techniques compute these quantities accurately but the cost is multiple S... |
quantumcomputing/e3309eb5_121894.txt | where b is a parameter of the distribution. Here we use the same substitution as in Eq. (9) to convert from the standard Laplace distribution to a Laplacian error distribution. The log likelihood is then |
quantumcomputing/4625_6db11a57eeb37ab9_29.txt | Shor’s algorithm exploits the ingenious number theoretic argument that two prime factors \(p,q\) of a positive integer \(N=pq\) can be found by determining the period of a function \(f(x) = y^x \textrm{mod} N,\) for any \(y < N\) which has no common factors with \(N\) other than 1 (Nielsen and Chuang 2000 App. 4). The ... |
quantumcomputing/16785_f5b0288e0ea8c1ae_37.txt | where 0 ≤ F ≤ 1 is the fidelity, |ψ is the state we think we have created and ρ is the density matrix of the actual state. The fidelity can also be described as the overlap of our actual state with the desired state. The fidelity is 1.0 for a pure state and declines as noise in the system degrades the quality of the state... |
quantumcomputing/10c9ec5a_7975.txt | Numerological calculation for one person. Numerological calculation for at least two persons. 222 26 95KB Read more |
quantumcomputing/16785_f5b0288e0ea8c1ae_77.txt | Interestingly, the four Bell states are all equally probable, independent of the state |ψ . No one can predict which of the four states Alice will find, and therefore which corrections Bob will have to apply in order to recover |ψ . The two bits indicating the Bell state found must be transmitted via a classical channel... |
quantumcomputing/14472_a8a638dc956ff973_168.txt | In 2019, Adhikary and coworkers proposed a quantum classifier using a quantum feature space,486 with both quantum variational algorithm and hybrid quantum-classical algorithm for training. The input are encoded into a multi-level system; therefore, the required number of training parameters is significantly lesser than... |
quantumcomputing/1f0f2300_0218.txt | This aspect assesses the extent to which the conclusions can be generalized and how applicable they are to other cases with similar characteristics. In this case study, the results can be generalized only to quantum programs written in Qiskit and sourced from GitHub. Although these represent a broad scope (Qiskit is th... |
quantumcomputing/34011_a5801def072ec91c_543.txt | How then does Brentano explain the immediate knowledge we have of our own mental phenomena? Having removed any appeal to a faculty of inner sense, Brentano ends up with a form of conceptual insight that could be summarized in the following way: Immediate knowledge of our present mental states comes with the insight tha... |
quantumcomputing/2aef1e1c_120858.txt | Probability density of the electron for the ground and two excited states of hydrogen. Brighter regions are regions where the electron is more likely to be found. Source: http: astro.unl.edu naap hydrogen levels.html |
quantumcomputing/25808_67376b44df69bab4_118.txt | ``` >>> circ_unitary = qml.matrix(circuit)() >>> np.round(circ_unitary/circ_unitary[0][0], 3) tensor([[ 1. -0.j , -0. +0.j , -0. +0.j , -0. +0.j ], [-0. +0.j , -0.516-0.596j, -0.302-0.536j, -0. +0.j ], [-0. +0.j , 0.35 +0.506j, -0.311-0.724j, -0. +0.j ], [-0. +0.j , -0. +0.j , -... |
quantumcomputing/3773_cdd61dafb85483f2_9.txt | First, classical computer science provides a vast body of concepts and techniques which may be reused to great effect in quantum computation and quantum information. Many of the triumphs of quantum computation and quantum information have come by combining existing ideas from computer science with novel ideas from quan... |
quantumcomputing/22087_69ca229ec5299de3_1031.txt | It is an everyday observation that the internal energy of a piece of material is extensive, i.e., proportional to the number of atoms in this material. A celebrated result of Dyson and Lenard (1967) explains this fact on the basis of quantum mechanics, the fundamental theory that is the basis for the of the material w... |
quantumcomputing/20750_ad4744a1e1e1b7e8_174.txt | In the previous section, we already got to know the quantum oracle. As part of David Deutsch’s algorithm, it allowed us to solve a problem in fewer steps than a classical algorithm would need. It identifies the type of a function in a single shot. This is less than the two shots a classical algorithm needs. Sounds magi... |
quantumcomputing/27984_f7cca02666d41d41_67.txt | **Open-source HW and SW** are becoming essential in the rapidly evolving technological landscape. This workshop fosters a d knowledge and creativity culture, enabling a broader range of applications, from affordable healthcare devices to sustainable energy solutions. It stands as a critical pillar for a more **inclusiv... |
quantumcomputing/2258_b393da4e2e72ed8a_168.txt | Both Alice’s and Bob’s qubits have probability of being 0 and probability of being 1. So, in some sense, Alice’s and Bob’s qubits are the same, so you might think that this circuit clones Alice’s qubit. But these qubits are entangled. True cloning would mean ending up with two qubits whose amplitudes are independent of... |
quantumcomputing/14472_2ed2d1df17fe28a3_346.txt | Another aspect of Goedel’s work is that it effectively compares two infinite systems. Without intending to diminish Goedel’s work in any way, Aristotle recognized that both grammar and numbers d structures which could be described in terms of prior and posterior elements. Goedel’s genius lay in recognizing a significan... |
quantumcomputing/9769_889bcb3d28cecf3a_81.txt | I review some work on models of quantum computing, optical implementations of these models, as well as the associated computational power. In particular, we discuss the circuit model and cluster state implementations using quantum optics with various encodings such as dual rail encoding, Gottesman-Kitaev-Preskill encod... |
quantumcomputing/27984_f7cca02666d41d41_81.txt | **Short Description**: The Workshop at DATE 2024 invites submissions for an exploration of cutting-edge developments in Hyperdimensional Computing (HDC) and Vector Symbolic Architectures (VSA) regarding the both the theory and application of these concepts to study, design and automate new systems that leverage the mat... |
quantumcomputing/14994_bb89c4acbf2bb616_681.txt | processes, suggested in Ref. [24]. Dealing with the spectrophotometer capability to acquire large areas64 (up to half a meter) such a characterization could be extended to many samples or complex medium at the same time. This work represents a significant step in the perspective of monitoring complex memristive devices ... |
quantumcomputing/34793_e272bdff51b1eb10_568.txt | Large Language Models (LLMs) suffer from hallucinations, referring to the non-factual information in generated content, despite their superior capacities across tasks. Meanwhile, knowledge editing has been developed as a new popular paradigm to correct erroneous factual knowledge encoded in LLMs with the advantage of a... |
quantumcomputing/b78daa49_1635.txt | Let us now turn to the real topic of this post – quantum teleportation. Suppose that Alice is in possession of a qubit that captures some quantum state , stored in some sort of quantum device, which could be a superconducting qubit, a trapped ion, a polarized photon or any other physical implementation of a qubit. Bob ... |
quantumcomputing/44116_58b87e4807ca5e69_36.txt | I had the opportunity to explain these ideas and to place them in the context of existing research at a symposium organized by the American Mathematical Society on Experimental Arithmetic held in Chicago in April 1962 to which I was invited to participate. The ideas developed in the paper that was published in the proc... |
quantumcomputing/9339_98bc330e6ca89479_665.txt | The key concept of classical information theory is the Shannon entropy. Suppose we learn the value of a random variable X. The Shannon entropy of X quantifies how much information we gain, on average, when we learn the value of X. An alternative view is that the entropy of X measures the amount of uncertainty about X b... |
quantumcomputing/175_40094682244c3a83_313.txt | Visual search is a ubiquitous and often challenging daily task, exemplified by looking for the car keys at home or a friend in a crowd. An intriguing property of some classical search tasks is an asymmetry such that finding a target A among distractors B can be easier than finding B among A. To elucidate the mechanisms... |
quantumcomputing/4625_ebeb95a89c78f21f_53.txt | As with many items we discuss in this book, the level of understanding you need to take away varies substantially based on your goals. If you simply want a generalized understanding of quantum operations, then you must understand that a given qubit will yield a 1 or 0 when measured with a particular probability. Furthe... |
quantumcomputing/25925_723fd0fbfe5d7a11_10.txt | Quantum circuits are considered more powerful than classical circuits and require exponential resources to simulate classically. Clifford circuits are a special class of quantum circuits that can be simulated in polynomial time but still show important quantum effects such as entanglement. In this work, we present an a... |
quantumcomputing/22087_db9c0f2f4b6f960d_1660.txt | Eschewing naive realism, we define true (classical/quantum) realism:= some existents (ie, some Bell-beables) may change interactively. We then show that Bell's mathematical ideas re local causality—from his 1964:(1)-(2) to his 1990a:(6.9.3)—are valid under true realism. But we refute Bell's analyses (and his ‘local rea... |
quantumcomputing/1226_3fc4c296cc68989d_330.txt | The large-scale realization of hybrid devices will require versatile preparation techniques with high control on the surface of metal nanostructures. In some cases, a high degree of purity will be required for the metal–graphene contacts, while in other cases the ability to self-assemble the metal and graphene componen... |
quantumcomputing/22108_6f757863ac0255c5_98.txt | Dogma about information passing into the protein in precise determination of bases in the nucleic acid or amino acid residues, a relationship between 64 codons and 20 amino acids is built as a starter. In the DNA molecules instructions to build proteins are stored in the sequence of it’s bases. and turns of the heic. E... |
quantumcomputing/22108_db9c0f2f4b6f960d_467.txt | After a brief introduction of Born's reciprocal relativity theory is presented, we review the construction of the deformed Quaplectic group that is given by the semi-direct product of U (1,3) with the deformed (noncommutative) Weyl-Heisenberg group corresponding to noncommutative fiber coordinates and momenta $ [ X\_a,... |
quantumcomputing/25808_2823ca7432943e2b_14.txt | Bohr’s model of the atom was essentially a planetary one, with the electrons orbiting around the nuclear “sun.” However, the uncertainty principle states that an electron cannot simultaneously have an exact location and velocity in the way that a planet does. Instead of classical orbits, electrons are said to inhabit a... |
quantumcomputing/9904_7ae05d4adf606362_379.txt | reducing M by the action of T k and T k are T-dual. Conversely, any pair of T-dual spaces arises in this fashion. Proof. By the argument from Example 6.2, one can transform T M ⊕ T ∗ M by a B-field so that the lift of the action of T k lies in T M. From now on, we assume that the action is of this form and denote by H t... |
quantumcomputing/22087_cfa6e6481b8cd2bd_337.txt | Examples, positive or negative, are the lifeblood of mathematics. This is particularly important when there is generic behaviour, but also lots of special cases. For example, almost all polynomials are irreducible, but nevertheless greeat effort is spent on factoring algorithms. A single example can be represented in v... |
quantumcomputing/7f78d740_11154.txt | When treated as ground states of the code Hamiltonian, the code states realize \(\mathbb{Z}_2\) topological order, a topological phase of matter that also exists in \(\mathbb{Z}_2\) lattice gauge theory . This order does not persist at nonzero temperature [10,11]. Pauli noise operators can be organized into anyonic str... |
quantumcomputing/3960_0678c516274774e4_306.txt | But perhaps this isn’t convincing enough, so let’s take a r look. Since evolution is a composite thesis, one must specify which part of it is up for falsification. These parts include the existence of selective environmental pressure, adaptation to selective pressure by individual organisms as a condition of survival, ... |
quantumcomputing/10115_59c45b8c77a80942_267.txt | “As a result, by 2035 and beyond, the digital world will become a magical layer that is seamlessly merged with our physical world. And when that happens, we will look back at the days when people engaged their digital lives by poking their fingers at little screens in their hands as quaint and primitive. We will realiz... |
quantumcomputing/34011_a5801def072ec91c_2626.txt | On some views, faith is a belief. Call these “doxastic” views of faith. We have discussed two doxastic views already. The first is the view that faith is simply belief in a religious proposition; it was noted that, if intended as a general theory of faith, this seems narrow, as one can have non-religious faith. (But it... |
quantumcomputing/2258_ba4096302e7b1742_104.txt | ``` @article{boriskhesin2024universal, author = {Boris Khesin, Andrey and Z. Lu, Jonathan and W. Shor, Peter}, title = {{Universal graph representation of stabilizer codes}}, year = {2024}, journal = {arXiv preprint arXiv:2411.14448}, urldate = {2024-11-07}, link = {http://arxiv.org/abs/2411.14448}, keywords = {Error C... |
quantumcomputing/17894_42dd6baf431f5528_29.txt | Without going through the whole article, we can give some insight and in particular in how to generate the CZ gate. In order to do so, the basic building block needed is the so-called NS gate, for Non-linear Sign shift gate. We will take the simplified version of the NS gate given in Fig. 8 from [47"), 48")]. As can be... |
quantumcomputing/eada29da_2538.txt | Department of Physics “Ettore Pancini”, University of Naples Federico II, Complesso di Monte Sant’Angelo, Via Cintia 21, 80126, Napoli, ItalyGiovanni Acampora & Roberto Schiattarella Department of Physics “Ettore Pancini”, University of Naples Federico II, Complesso di Monte Sant’Angelo, Via Cintia 21, 80126, Napoli, I... |
quantumcomputing/1629_3abeac199875c936_71.txt | is called the commutator (or also Lie bracket, after the name of the Norwegian mathematician Sophus Lie (1842–1899)) of observables Oˆ and Oˆ . A relation between operators like that given by Eq. (1.209) is called the commutation relation. Similar commutation relations hold true for the other Cartesian components of ... |
quantumcomputing/22087_69ca229ec5299de3_259.txt | The Subset Sum and Knapsack problems are fundamental NP-complete problems and the pseudo-polynomial time dynamic programming algorithms for them appear in every algorithms textbook. The algorithms require pseudo-polynomial time and space. Since we do not expect polynomial time algorithms for Subset Sum and Knapsack to ... |
quantumcomputing/1687475a_113922.txt | 2.3 The Copy Gate (No-Cloning Theorem) An operation we introduced in the chapter on reversible classical computing was one with the ability to copy the value of a bit (say, (b_1 )) to another (e.g., (b_0 )) by the use of a (CX ) gate. Since qubits that are in strictly one of the two computational basis states ( ... |
quantumcomputing/27984_723fd0fbfe5d7a11_19.txt | ``` @article{rusch2025completeness, author = {R{\"u}sch, Maximilian and Rodatz, Benjamin and Kissinger, Aleks}, title = {{Completeness for Fault Equivalence of Clifford ZX Diagrams}}, year = {2025}, journal = {arXiv preprint arXiv:2510.08477}, urldate = {2025-10-09}, link = {https://arxiv.org/abs/2510.08477}, keywords ... |
quantumcomputing/22087_69ca229ec5299de3_1852.txt | I will present a new method of analysis for Einstein’s constraint equations, referred to as the Seed-to-Solution Method, which leads to the existence of asymptotically Euclidean manifolds with prescribed asymptotic behavior. This method generates a (Riemannian) Einstein manifold from any seed data set consisting of (1)... |
quantumcomputing/4625_6db11a57eeb37ab9_57.txt | Finally, another philosophical implication of the realisation of a large scale quantum computer regards the long-standing debate in the philosophy of mind on the autonomy of computational theories of the mind (Fodor 1974). In the shift from strong to weak artificial intelligence, the advocates of this view tried to imp... |
quantumcomputing/22108_db9c0f2f4b6f960d_2047.txt | We analyze the crush-down collapse of One World Trade Center (1~WTC, North Tower) in the framework of the National Institute of Standards and Technology (NIST, 2005) collapse hypothesis. The main feature of crush-down is that a moving part of the building - the top section - falls onto the stationary base, and absorbs ... |
quantumcomputing/21985_b745cf4a986576b6_400.txt | Two dimensional perovskites with a quantum well structures have demonstrated superior air stability because of the hydrophilic property functionalized by the organic molecule spacers. Thus, 2D perovskites are promising absorbers for the next generation photovoltaic technology. However, it remains a significant challeng... |
quantumcomputing/e4bcd16e_117531.txt | The gate K displaystyle K can now be applied to any two-qubit state, entangled or otherwise. The gate K displaystyle K will leave the second qubit untouched and apply the Hadamard transform to the first qubit. If applied to the Bell state in our example, we may write that as: |
quantumcomputing/6436_723fd0fbfe5d7a11_15.txt | ``` @phdthesis{Vandaele2025thesis, author = {Vandaele, Vivien}, title = {{Optimization of fault-tolerant quantum computing by the ZX-calculus}}, year = {2025}, school = {Universit\'e de Lorraine}, urldate = {2025-10-22}, link = {https://inspirehep.net/files/1b9b518d03054c5810e04caaa89b6626}, keywords = {ZX-calculus, Op... |
quantumcomputing/35883_6acf32c49a1bbe4c_69.txt | (2013)")] and [45, pp. 792-809 (2015)")], respectively. In the first term, *m* denotes the number of submatrices in the decomposition Eq. ([8)]; in the general case, \(m=6d^2\), in our toy-problem analysis, \(m=N\_b\). In the second and third term, *d* is the sparsity of *A*, and *n* is the number of qubits acted on, w... |
quantumcomputing/22108_db9c0f2f4b6f960d_2720.txt | In my papers \cite{Assis1} and \cite{Assis2}, I obtain a Cold Big Bang Cosmology, fitting the cosmological data, with an absolute zero primordial temperature, a natural cutoff for the cosmological data to a vanishingly small entropy at a singular microstate of a comoving domain of the cosmological fluid. Now, in this b... |
quantumcomputing/27984_723fd0fbfe5d7a11_461.txt | We provide a graphical treatment of SAT and \#SAT on equal footing. Instances of \#SAT can be represented as tensor networks in a standard way. These tensor networks are interpreted by diagrams of the ZH-calculus: a system to reason about tensors over \(\mathbb{C}\) in terms of diagrams built from simple generators, in... |
quantumcomputing/14816_ef4967e23f006ce3_4.txt | We can get some insight by looking at the number of independent real parameters needed to specify a d-dimensional Hermitian matrix. Over the complex numbers, the number is exactly d2: we need 1 parameter for each of the d diagonal entries, and 2 (a real part and an imaginary part) for each of the d(d-1)/2 upper off-di... |
quantumcomputing/13334_db9c0f2f4b6f960d_369.txt | We introduce a general conjecture involving minimum-link covering trails for any given k-dimensional grid n × n × ··· × n, belonging to the cubic lattice ℕ^k. In detail, if n is above two, we hypothesize that the minimal link length of any covering trail, for the above-mentioned set of n^k points in the Euclidean space... |
quantumcomputing/17418_c2c01ebb412339b8_93.txt | • All of the quantum states on a given latitude differ only by e . Since iφ 2 iφ −iφ | e | = e e = 1, the probabilities of all quantum states on the same latitude collapsing to | 0⟩ or | 1⟩ are the same. In other words, you can move the quantum state along the same latitude, or about the north-south axis, without affec... |
quantumcomputing/77b554a9_6013.txt | Functions and routines that only use gates can themselves be described as matrices, just like the smaller gates. The matrix that represents a quantum function acting on q {\displaystyle q} qubits has size 2 q × 2 q {\displaystyle 2^{q}\times 2^{q}} . For example, a function that acts on a "qubyte" (a register of 8 qubi... |
quantumcomputing/16341_242c5f1ba9caf7a5_8.txt | In a classical computer, information is stored in bits that are 0 or 1, and operations (logic gates) act on these bits one or a few at a time. In a quantum computer, information is stored in qubits that can be 0, 1, or any superposition of 0 and 1 simultaneously. When you have multiple qubits, their joint state can be ... |
quantumcomputing/14816_8f631342375c1193_419.txt | My work centers on turbulence, both its intrinsic properties and its role in various environmental settings. Over a bed of sand, it lifts and transports the grains. Left to itself, the turbulence slowly dissipates and disappears. In the first part of my talk, I will introduce experiments motivated by the question of ho... |
quantumcomputing/10115_d248c03bea5f280d_4.txt | In the model of computation used in this article (the quantum circuit model), a classic computer generates the gate composition for the quantum computer, and the quantum computer behaves as a coprocessor that receives instructions from the classical computer about which primitive gates to apply to which qubits.[13]: 36... |
quantumcomputing/50526c20_113749.txt | Grover's algorithm can be applied to various practical problems, such as database searching, cryptography, and solving NP-complete problems where the solution can be verified quickly once found. The use of quantum oracles extends beyond Grover's search to other algorithms, like the Deutsch-Josza algorithm, which determ... |
quantumcomputing/10115_16a55bc42dde3474_13.txt | Why do I think that these systems’ limitations are meaningul when compared to humans? These NN AI systems work by being able to exploit certain regularities in the training data(you could argue that any optimization has to exploit patterns in data but I think humans are much more deeply general at this than things like... |
quantumcomputing/32894_fc39bbe803b856a5_251.txt | Numerical simulation is important in real-world engineering systems, such as solid mechanics and aero-dynamics. Hierarchical GNNs can learn engineering simulation with low simulation time and acceptable accuracy, but fail to represent complex interactions in simulation systems. In this paper, we propose a novel multile... |
quantumcomputing/1629_62d962bdf1d2852a_208.txt | Here |ψ denotes an arbitrary composite state of the two qubits; this might be a product state or an entangled state like a Bell state, Eq. (3.99). In case it is a product state, for instance, |01, the first entry (here: ‘0’) refers to the state of the upper qubit and the second entry (here: ‘1’) to that of the lower ... |
quantumcomputing/22108_db9c0f2f4b6f960d_338.txt | A brief introduction of the Extended Relativity Theory in Clifford Spaces (C-space) paves the way to the explicit construction of the generalized relativistic transformations of the Clifford multivector-valued coordinates in C-spaces. The most general transformations furnish a full mixing of the grades of the multivect... |
quantumcomputing/13334_db9c0f2f4b6f960d_1479.txt | Computer experiments reveal that twin primes tend to center on nonsquarefree multiples of 6 more often than on squarefree multiples of 6 compared to what should be expected from the ratio of the number of nonsquarefree multiples of 6 to the number of squarefree multiples of 6 equal $\pi^2/3-1$, or ca 2.290. For multipl... |
quantumcomputing/25925_723fd0fbfe5d7a11_183.txt | We give complete presentations for the dagger-compact props of affine Lagrangian and coisotropic relations over an arbitrary field. This provides a unified family of graphical languages for both affinely constrained classical mechanical systems, as well as odd-prime-dimensional stabiliser quantum circuits. To this end,... |
quantumcomputing/22108_db9c0f2f4b6f960d_2352.txt | Novel physical consequences of the Extended Relativity Theory in $C$-spaces (Clifford spaces) are explored. The latter theory provides a very different physical explanation of the phenomenon of ``relativity of locality" than the one described by the Doubly Special Relativity (DSR) framework. Furthermore, an elegant $no... |
quantumcomputing/8729_23e9aeec4fe3bb40_154.txt | Feel you bro, AI also helps me so much with learning too, as my most functional style of learning is much more nonlinear + from first principles, + topdown + theoretical but also connected to real world in terms of maths + holistic and multidisciplinary + playfully nonseriouh s and curious + adventurous + fast + coveri... |
quantumcomputing/4afbe742_126428.txt | In computer science, the controlled NOT gate (also C-NOT or CNOT), controlled-X gate, controlled-bit-flip gate, Feynman gate or controlled Pauli-X is a quantum logic gate that is an essential component in the construction of a gate-based quantum computer. It can be used to entangle and disentangle Bell states. Any quan... |
quantumcomputing/22087_69ca229ec5299de3_2496.txt | May Cai: The completion problem asks one to take a partial observation of some underlying object, and try to recover the original observation. Concretely, we have some object of interest, and a point in the image of that object under a projection map, and want to understand the fiber of this point under this map. In pa... |
quantumcomputing/14816_6b5eb0c4e42e043c_281.txt | One reason I like this Newcomb's Paradox is that it gets at a connec- tion between "free will" and the inability to predict future behavior. Inability to predict the future behavior of an entity doesn't seem suffi- cient for free will, but it does seem somehow necessary. If we had some box, and if without looking insid... |
quantumcomputing/a3ee1f22_126016.txt | To directly calculate which qubit is the control bit for each CNOT, this can be determined using Gray code. This is shown in the table below the circuit. The number of the bit that is changed in the Gray code is the number of the qubit that will be the control bit. |
quantumcomputing/14994_bb89c4acbf2bb616_88.txt | Proposition 27 (Generalized fixed precision ShSM). If a set A ⊆ Σ is decidable by an error-prone finite precision ShSM in polynomial space, then A ∈ BPPSPACE//poly. Proof. The proof of this proposition is exactly the same as the proof of Proposition 15 but now we can use an unbounded amount of cells from the query tape... |
quantumcomputing/9904_340504b9f389f966_367.txt | Unlike conventional magnets where the spins undergo magnetic long-range order in the ground state, in a quantum spin liquid they remain disordered down to the lowest temperatures without breaking local symmetries. Here, we investigate the novel, unexplored bilayer-kagome magnet Ca10Cr7O28, which has a complex Hamiltoni... |
quantumcomputing/cc839c36_122223.txt | For example, if the acceptable latency limit is 20 milliseconds, the comparator circuit checks if a node's latency (in binary form) falls below this threshold. If it does, the oracle flips the phase of the corresponding quantum state. This marking mechanism ensures that only nodes with desirable latency characteristics... |
quantumcomputing/1629_62d962bdf1d2852a_136.txt | Upon measurement, a statistical operator must be updated. We consider first the special case of pure states. As in our general framework, Eq. (2.12), measurement preserves maximal knowledge; once we have maximal knowledge about a system, subsequent measurements will not destroy that. Therefore, upon ascertaining the tr... |
quantumcomputing/22087_e1ef1f358f6bc321_296.txt | The accuracy of metamodelling is determined by both the sampling and approximation. This article proposes a new sampling method based on the zeros of Chebyshev polynomials to capture the sampling information effectively. First, the zeros of one-dimensional Chebyshev polynomials are applied to construct Chebyshev tensor... |
quantumcomputing/34793_74dcaa7adf2cb6cc_2.txt | Several authors have proposed a more or less coherent philosophy of information as an attempt to rethink philosophy from a new perspective: e.g., quantum physics (Mugur-Schächter 2002), logic (Brenner 2008), communication and message systems (Capurro & Holgate 2011) and meta-philosophy (Wu 2010, 2016). The work of Luci... |
quantumcomputing/bffebcab_10078.txt | The phenomenon of interference that is exhibited by individual quantum systems is an expression of quantum coherence. The term coherence is known from classical waves and indicates a situation where the oscillations of the wave’s amplitude at two different points in space have a fixed phase relation. This is, for examp... |
quantumcomputing/4625_ebeb95a89c78f21f_73.txt | Again, the ψ symbol denotes the wave function. The Σ symbol is the summation of what is after it. The φ i represents the possible quantum states. The i is to enumerate through those possible states, such as φ 3 φ 2, φ 3, etc. The ci values (c1, c2, c3, etc.) are probability coefficients. The letter c is used because th... |
quantumcomputing/b7dc4e10_14769.txt | The quantum computer is no longer the stuff of science fiction. Pioneering physicists are on the brink of unlocking a ne 274 75 6MB Read more |
quantumcomputing/32894_fc39bbe803b856a5_221.txt | Dialogues Aspect-based Sentiment Quadruple Extraction (DiaASQ) aims to extract all target-aspect-opinion-sentiment quadruples from a given multi-round, multi-participant dialogue. Existing methods typically learn word relations across entire dialogues, assuming a uniform distribution of sentiment elements. However, we ... |
quantumcomputing/4628_add6c66665defb95_174.txt | OBJECTIVE: Development of a general natural-language processor that identifies clinical information in narrative reports and maps that information into a structured representation containing clinical terms. DESIGN: The natural-language processor provides three phases of processing, all of which are driven by different ... |
quantumcomputing/25808_67376b44df69bab4_176.txt | * The `QFT` operation has been moved, and is now accessible via `pennylane.templates.QFT`. (#1548) * Specifying `shots=None` with `qml.sample` was previously deprecated. From this release onwards, setting `shots=None` when sampling will raise an error also for `default.qubit.jax`. (#1629) * An error is raised during QN... |
quantumcomputing/b439af30_113883.txt | Unitaries composed of tensor products of single-qubit unitaries are only a small fraction of all possible operations that can act on a multi-qubit state. For example the matrices for the (CX ) or the Toffoli ( (CCX )) gates, which we covered before, cannot be expressed in terms of tensor products of other unitaries. S... |
quantumcomputing/27927_67376b44df69bab4_154.txt | Instead, the functionalities for general parameter-shift rules in the `qml.gradients` module should be used, together with the operation attributes `parameter_frequencies` or `grad_recipe`. * Executing tapes using `tape.execute(dev)` is deprecated. Please use the `qml.execute([tape], dev)` function instead. (#2306) * T... |
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