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quantumcomputing/11875_543aaf591dd6eb2d_210.txt
5 Conclusions and Future Scopes Here, we design a hashing algorithm using CFA interpolation coefficients, vector distance, and a blind geometric correction, which has been applied for image authentication. The arbitrary rotation invariant and forgery detection along with arbitrary rotation are obtained in our approach ...
quantumcomputing/6ab15144_2891.txt
In this section, we consider the contributions to the atomic EDM from the Feynman diagrams in Fig. 27, which include the nucleon EDMs \(d_{p,n}\) and virtual nuclear transitions. The calculation of these contributions requires accurate consideration of both CP-odd nuclear transitions in different nuclei and calculation...
quantumcomputing/9339_a38937c5090409ef_100.txt
The diagonal elements of D are called the singular values of A. Proof By the polar decomposition, A = SJ, for unitary S, and positive J. By the spectral theorem, J = T DT † , for unitary T and diagonal D with non-negative entries. Setting U ≡ ST and V ≡ T † completes the proof. Exercise 2.48: What is the polar decompos...
quantumcomputing/1629_3abeac199875c936_763.txt
and define M = List(G)/ ∼ (i.e. we drop equivalent alternatives). Let e = [] and a ∗ b obtained by concatenating representing lists. Note that every free monoid is a presented monoid because we can just take the set of relations to be empty. Let us consider an example. Let G = {a, b, c, d}, where the letters denote but...
quantumcomputing/9789_43c3a638e17725fa_139.txt
7.6 CONCLUSION In this chapter, we propose an effective key agreement protocol using ECC for secure communication. To solve the scalability problem of group key management, a ternary tree is used in which each node can have a maximum of three children, but there is no restriction on the number of group members. In the...
quantumcomputing/3960_f86f793cf9e31867_28.txt
The concept of graph coloring originates from the practice of coloring adjacent countries on a map, namely a planar graph, with different colors. In modern terms, it is formulated as vertex coloring for a graph \(\mathcal{G} = (V,E)\) where *V* is a set of vertices and *E* is a set of edges, each connecting a pair of v...
quantumcomputing/26329_cdd61dafb85483f2_281.txt
The Quantum Science Satellite will be launched into a low Earth orbit and will communicate with one ground station at a time. The satellite flies over a ground station in Europe and establishes a quantum link to the ground station, and you generate a key between the satellite and the ground station in Europe. Then, som...
quantumcomputing/4628_f9ab73a74dab0c06_62.txt
Garnett, assistant director for Digital Libraries and Information Systems at the Smithsonian Institution Libraries in Washington DC, a contributor to the OCA. For taxonomists such as Chavan, the OCA is perhaps the most interesting scanning project so far. Eight museums including the Natural History Museum in London hav...
quantumcomputing/33692_723fd0fbfe5d7a11_147.txt
Continuous-variable (CV) quantum information processing is a promising candidate for large-scale fault-tolerant quantum computation. However, analysis of CV quantum process relies mostly on direct computation of the evolution of operators in the Heisenberg picture, and the features of CV space has yet to be thoroughly ...
quantumcomputing/22087_4268de2ba98204ef_378.txt
The Higgs branch of 4d $\mathcal{N}=2$ SCFTs can be analyzed via the Hilbert series of the Higgs branch or, in special cases, by computing the Hall-Littlewood index. For any class $\mathcal{S}$ theory corresponding to a genus-zero Riemann surface, they are conjectured to be identical. We present several families of cou...
quantumcomputing/14994_cdd61dafb85483f2_178.txt
The topological qubit is a type of qubit that offers more immunity to noise than many traditional types of qubits. Topological qubits are more robust against outside interference, meaning fewer total physical qubits are needed when compared to other quantum systems. With this improved performance, the ratio of physical...
quantumcomputing/4628_add6c66665defb95_136.txt
Implementation of molecular dynamics (MD) calculations on novel architectures will vastly increase its power to calculate the physical properties of complex systems. Herein, we detail algorithmic advances developed to accelerate MD simulations on the Cell processor, a commodity processor found in PlayStation 3 (PS3). I...
quantumcomputing/38735_b40adb8f9d2191e1_12.txt
Member of a family of \([[n,k,d]]\) stabilizer codes for which the number of sites participating in each stabilizer generator and the number of stabilizer generators that each site participates in are both bounded by a constant \(w\) as \(n\to\infty\). The code can be denoted by \([[n,k,d,w]]\) or, for \(q\)-dimensiona...
quantumcomputing/22108_db9c0f2f4b6f960d_211.txt
This work analyzes a recently reported numerical solution to a modified Born-Infeld model of electrons by computing its energy, momentum, invariant mass, and intrinsic angular momentum. While the invariant mass is used to improve the model's Born-Infeld parameter, the computed energy and intrinsic angular momentum prov...
quantumcomputing/13334_db9c0f2f4b6f960d_629.txt
Preliminary concept of AGI for brain-like intelligence is presented in this paper. The solution is mainly in two aspects: firstly, we combine information entropy and generative network (GAN like) model to propose a paradigm of General Intelligent Network (GIN). In the GIN network, the original multimodal information ca...
quantumcomputing/5147_2ace7211bec9884e_29.txt
It is an open-source Q-SDK development over Azure quantum created by Microsoft. It supports the Q# a high-level development language for QC that have similar features such as C#. It includes a simulator as well as a resource estimator. QDK provides a ready-to-use library and samples for different applications such as q...
quantumcomputing/10115_4138ecdb10326a58_41.txt
As I tend to think there are connections between gravitation and wave function collapse. The similarities with the the nonconservation of Tr(ρ^2) with decoherence and Hawking radiation has always made me suspect a connection. We can perform a Cavendish experiment on masses in the kilogram scale, and most measurement ap...
quantumcomputing/10115_16a55bc42dde3474_17.txt
Also if you ask it to do some reasoning based on some random pick that it can’t write down explicitly, it struggles to basically “remember” what its pick was consistently (because it’s all implicit in the prompt and since it’s all probabilistic, it’s not always re-deriving his pick correctly). Which is why it struggles...
quantumcomputing/29980_e4c0b1739aa2e445_35.txt
Our current focus on classification task provides a natural starting point for adapting QNLP circuits to material’s data within NISQ hardware, while demonstrating the methodological feasibility. However, for practical inverse design that require quantitative property predictions such as precise adsorption energies or e...
quantumcomputing/29980_0d146684cff49b5c_1.txt
Schrödinger’s cat was meant as a parody – even Schrödinger found the implications of quantum theory “absurd” when applied to everyday objects. Yet, at the microscopic scale, nature truly behaves this way. An electron can literally take multiple paths simultaneously, as shown in the classic double-slit experiment: shoot...
quantumcomputing/22087_4268de2ba98204ef_486.txt
We compute logarithmic corrections to the black hole entropy $S\_{\rm bh}$ in a holographic set up where the cosmological constant $\Lambda$ and Newton's constant $G\_D$ are taken to be thermodynamic parameters, related to variations in bulk pressure \(P\) and central charge \(c\). In the bulk, the logarithmic correcti...
quantumcomputing/2258_ba4096302e7b1742_70.txt
``` @article{lu2025strange, author = {Lu, Da-Chuan and Xu, Fu and You, Yi-Zhuang}, title = {{Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d}}, year = {2025}, journal = {arXiv preprint arXiv:2505.00673}, urldate = {2025-05-01}, link = {https://arxiv.org/abs...
quantumcomputing/6245_7a0f56a6bb79783d_126.txt
About 540 million years ago was the ‘Cambrian explosion’ in evolution, when, during a brief ten million years, all animal phyla appeared, with fossils showing creatures similar to modern urchins with spiky axonemes, and nematodes. The modern urchin actinosphaerum has similar-looking axonemes which we now know are compr...
quantumcomputing/1226_4503ad1eb65e514b_54.txt
CAPP-12TB is the primary experiment conducted by CAPP, which employs a 12 T/32 cm bore magnet and Leiden refrigerator to scan the 1–8 GHz frequency range over the next five years with DFSZ sensitivity. The installation of the Oxford Instr. magnet was delayed by nearly a year due to the Covid-19 pandemic, but the commis...
quantumcomputing/16341_eb2d3cb01bbb3072_10.txt
There was just one piece missing. When looking at the original program of Khwarizmi you may notice that it doesn’t specify anywhere the size of the numbers on which we’re operating. A human following this program in fact could operate on numbers of any size and the program would still work. The missing piece was no...
quantumcomputing/35883_a8a638dc956ff973_73.txt
where bli,j are the elements of the bias matrix of the l-th layer. The tunable parameters within this layer are the bias matrix elements and the parameters within the kernel K. This convoluted feature map may be obtained by passing the kernel over the entire input without missing any row or column (without using any st...
quantumcomputing/b6c77d98_0568.txt
Using Dirac notation, let the system initially be in the state | ψ ⟩ = ∑ i | i ⟩ ⟨ i | ψ ⟩ , {\displaystyle |\psi \rangle =\sum _{i}|i\rangle \langle i|\psi \rangle ,} where the | i ⟩ {\displaystyle |i\rangle } s form an einselected basis (environmentally induced selected eigenbasis), and let the environment initially ...
quantumcomputing/27984_a6019ccf7080d97d_135.txt
Our primary result is that the efficacy of this learning process is modulated by the ratio of the sizes of the input and output populations. Given a fixed number of input neurons, our results show that Hebbian learning produces such a network if the output layer has at least several times as many neurons as the input l...
quantumcomputing/22108_db9c0f2f4b6f960d_2469.txt
It is shown a.o. that a gauge invariant scalar (classical and quantum theoretical) electrodynamical field is a trivial field theory; in fact, it is shown that a non-zero scalar gauge field will not be charge/mass conservating, unless it is zero. The classical action of a flux of charged and neutral particles is calcula...
quantumcomputing/24a75e2e_125494.txt
Most of this is pretty transparent. Alice starts with an unknown quantum state, ψ psi rangle ψ , which is to be teleported. Alice and Bob share a quantum state 00 11 2 frac 00 rangle 11 rangle sqrt 2 2 0 0 1 1 . Then Alice performs two gates on her qubits, followed by measuring both ...
quantumcomputing/34011_74845111e5423cd6_290.txt
Multi-agent architectures and learning protocols that ensure stability, robustness, and performance guarantees for unknown and changing environments are essential for operational AI/ML systems. The traditional Q-learning protocol is applicable to stationary Markov Decision Processes (MDPs) and in the infinite-horizon c...
quantumcomputing/2565_180819832b759be4_145.txt
Quantum imaging with undetected photons In quantum ghost imaging, the photons in the object path are still detected (with the bucket detector). Newer approaches allow imaging without measuring the photons interacting with the object to be imaged [50]. The goal here is to extend the wavelengths that can be used to areas...
quantumcomputing/25925_723fd0fbfe5d7a11_169.txt
A quantum circuit may be strongly classically simulated with the aid of ZX-calculus by decomposing its \(t\) T-gates into a sum of \(2^{\alpha t}\) classically computable stabiliser terms. In this paper, we introduce a general procedure to find an optimal pattern of vertex cuts in a ZX-diagram to maximise its T-count r...
quantumcomputing/13334_db9c0f2f4b6f960d_899.txt
Ae extratropical cyclone” is an at- mospheric phenomenon that occurs when there is a very rapid drop in central atmospheric pressure. This phenomenon, with its characteristic of rapidly lowering the pressure in its interior, generates very intense winds and for this reason it is called explosive cyclone, “cyclone bomb”...
quantumcomputing/16776_e26caa74eb27f4da_329.txt
While scaling training compute has led to remarkable improvements in large language models (LLMs), scaling inference compute only recently began to yield analogous gains. We hypothesize that a core missing component is a lack of diverse LLM outputs, leading to inefficient search due to models repeatedly sampling highly...
quantumcomputing/34011_74845111e5423cd6_31.txt
The navigational sensor onboard PIXL, the Micro Context Camera, is equipped with active LED floodlight and structured light capabilities. The first ensures a homogeneous lighted scene, to capture the optical context of the surface. The structured light consists of 2 illumination sources, each with their own designed do...
quantumcomputing/22087_e1ef1f358f6bc321_92.txt
In this work we develop a computer-assisted technique for proving existence of periodic solutions of nonlinear differential equations with non-polynomial nonlinearities. We exploit ideas from the theory of automatic differentiation in order to formulate an augmented polynomial system. We compute a numerical Fourier exp...
quantumcomputing/13334_db9c0f2f4b6f960d_617.txt
Warp Drives are solutions of the Einstein Field Equations that allows superluminal travel within the framework of General Relativity. There are at the present moment two known solutions: The Alcubierre warp drive discovered in $1994$ and the Natario warp drive discovered in $2001$. However one of the major drawbacks th...
quantumcomputing/4628_c2c01ebb412339b8_14.txt
For reasons that’ll become clear in subsequent chapters, the taller middle two bars correspond to feasible schedules. The binary strings at the base of these bars are 01 and 10. These are the ones that correctly solve the Boolean logic expressions for the simpler version. The others are discarded. I realize you may not...
quantumcomputing/18150_67376b44df69bab4_81.txt
``` >>> op1 = PauliWord({0: "X", 1: "X"}) >>> op2 = PauliWord({0: "Y"}) + PauliWord({1: "Y"}) >>> op1.commutator(op2) 2j * Z(0) @ X(1) + 2j * X(0) @ Z(1) ``` * Composite operations (e.g., those made with `qml.prod` and `qml.sum`) and scalar-product operations convert `Hamiltonian` and `Tensor` operands to `Sum` and `Pr...
quantumcomputing/5147_2ed2d1df17fe28a3_71.txt
After all, we have pseudorandom number generators, P=BPP, and we’re used to simply postulating that we have some random bits available for our computation. Well, postulating that the bits are random doesn’t help at all in a matter of principle, you still can’t generate them. At best you can postulate some randomness in...
quantumcomputing/46691cc9_1340.txt
Towards a Minimal Stabilizer ZX-calculus Miriam Backens, Simon Perdrix and Quanlong Wang Show abstract ⇲ Show bibdata ⇲ Logical Methods in Computer Science Keywords: ZX-calculus, Clifford Fragment, Minimality, Completeness, Scalars. The stabilizer ZX-calculus is a rigorous graphical language for reasoning about quantum...
quantumcomputing/38735_7bf989aafa8e9796_199.txt
We couple the recently developed self-learning metabasin escape algorithm, which enables efficient exploration of the potential energy surface (PES), with shear deformation to elucidate strain-rate and temperature effects on the shear transformation zone (STZ) characteristics in two-dimensional amorphous solids. In doi...
quantumcomputing/34793_bd3d075b77addd35_136.txt
Conversely, **Melissa R. Michelson**, dean of arts and sciences and professor of political science at Menlo College, cited the pandemic for two impediments to rapid XR development, writing, “I doubt that the metaverse will be this far along by 2040 because: 1) The pandemic has revealed the degree to which modern life i...
quantumcomputing/3960_0678c516274774e4_212.txt
I would sincerely like to help Mark avoid this unenviable fate. You see, I don’t (yet) think that Mark is stupid or evil, but merely a bit on the manic side. Thus, when he works himself into an uncontrollable pseudomathematical frenzy and takes wild pot shots at intellectual targets with his full-auto math-powered ray ...
quantumcomputing/37355_e4427061f6aeb8f8_42.txt
All this has been known to chemists for decades. Yet it was only in the past year that Gershenfeld and Chuang, and independently Cory, Fahmy, and Havel, pointed out that NMR provides a useful implementation of quantum computation. This was not obvious for several reasons. Most importantly, NMR systems are very hot. The...
quantumcomputing/14994_ebeb95a89c78f21f_160.txt
The operation used with the elliptic curve is addition (remember the definition of a group requires a set along with an operation). Thus, elliptic curves form additive groups. Recall from earlier in this book that a group is an algebraic system consisting of a set, an identity element, one operation, and its inverse op...
quantumcomputing/32894_1a8f0330de3b41ea_57.txt
Federated learning is a machine learning paradigm that enables decentralized clients to collaboratively learn a d model while keeping all the training data local. While considerable research has focused on federated image generation, particularly Generative Adversarial Networks, Variational Autoencoders have received l...
quantumcomputing/9339_98bc330e6ca89479_72.txt
There is another way of looking at the failure of the circuit in Figure 1.11, based on the intuition that a qubit somehow contains ‘hidden’ information not directly accessible to measurement. Consider what happens when we measure one of the qubits of the state a|00) + 6 | 11). As previously described, we obtain either ...
quantumcomputing/26329_ff7da9bf12314062_161.txt
As the list shows, the backend “ibmq\_athens” implements only the given basis gates at the hardware level! If we have expected all the gates outlined in the previous sections are supported at the hardware level, we are a little surprised by this information. Most backends implement the basis gates at the hardware level...
quantumcomputing/927557b1_5985.txt
Although we often represent measurement as an operation that applies to a single qubit, it doesn't act like other single-qubit operations. There are some details omitted. Equivalence w/ CNOT Measuring a qubit is equivalent to using it as the control for a CNOT that toggles an otherwise unused ancilla qubit. Knowing thi...
quantumcomputing/38735_fabe5077e891c005_211.txt
as the minimal quasiparticle charge, we can state the stability criterion for the helical edge states in symmetry class AII to interactions or static disorder as the condition that the spin Hall conductance divided by e /2π must be an odd integer. This criterion was first established by Levin and Stern [71] for the FQS...
quantumcomputing/1629_3abeac199875c936_459.txt
Ballentine, L.E. 1970. The Statistical Interpretation of Quantum Mechanics. Review of Modern Physics 42: 358–81. Barabási, A.-L. 2002. Linked: How Everything is Connected to Everything Else and What It Means for Business, Science, and Everyday Life. New York: Penguin. Barnett, S.M., and S.J.D. Phoenix. 1989. Entropy as...
quantumcomputing/2d86d6ca_126136.txt
For a quantum circuit ( Q , C ) 𝑄 𝐶 (Q,C) ( italic _Q , italic _C ) , the dependency graph serves as a graphical representation of the relationships between two-qubit gates. The definition is shown as follows.
quantumcomputing/34011_a5801def072ec91c_287.txt
That Christ comes in for such favorable treatment as compared with Moses and other Hebrew prophets has aroused suspicion and even consternation among many of Spinoza’s readers, especially his Jewish readers.  Given that he was writing for a largely Christian audience, some see Spinoza’s comments as more strategic than ...
quantumcomputing/8337_4de32119227e230b_4.txt
where *n* is the number of qubits, *P*(*x**i*) is the probability of bitstring *x**i* computed for the ideal quantum circuit, and the average is over the observed bitstrings. Intuitively, \({ {\mathcal F} }\_{{\rm{XEB}}}\) is correlated with how often we sample high-probability bitstrings. When there are no errors in t...
quantumcomputing/10115_4138ecdb10326a58_10.txt
continued. . . There can be no reality independent of the observer because reality is the virtue of the observer. There is one actuality and many interpretations based on the observer or program. For it is the program that interprets or describes. Therefore, the is the program, in that, there is no separate from the ...
quantumcomputing/38735_c34bd993af49dfce_51.txt
Let *V* be a set of detectors for a dynamical code. For every qubit and every time step (*q*, *t*), i.e., every fault location in the code, define a hyperedge *e*(*q*, *t*) = (*v*1, *v*2, …), where the *v**i* ∈ *V* are detectors that return − 1 outcomes if a single *Z* error occurs at the fault location (*q*, *t*). The...
quantumcomputing/6245_808db5389f8f8e1e_313.txt
16.8 Preparing for Your Quantum Career ALICE: This is good time to give Cardy some advice about next steps. CARDY: Thanks, Alice. I am interested in hearing about the math, computer science, and physics I will need to know if I continue with my studies of QIS and QC. ALICE: Although there are many specific jobs that ne...
quantumcomputing/e33de956_114622.txt
The neutral atom approach to quantum computing uses individual, laser-cooled neutral atoms as quantum bits, or qubits, which are the quantum version of the classical bit. However, the principles of quantum mechanics offer qubits much vaster computational possibilities.
quantumcomputing/13334_db9c0f2f4b6f960d_1028.txt
A brief review of the essentials of Asymptotic Safety and the Renormalization Group (RG) improvement of the Schwarzschild Black Hole that removes the $ r = 0$ singularity is presented. It is followed with a RG-improvement of the Kantowski-Sachs metric associated with a Schwarzschild black hole interior and such that th...
quantumcomputing/175_40094682244c3a83_2432.txt
Adder neural networks (AdderNets) have shown impressive performance on image classification with only addition operations, which are more energy efficient than traditional convolutional neural networks built with multiplications. Compared with classification, there is a strong demand on reducing the energy consumption ...
quantumcomputing/14994_8ecc1c53b3b42b31_23.txt
For the state space of a two-state system to represent a quantum bit, two orthonormal distin¬ guished states, labeled |0) and 11), must be specified. Apart from the requirement that |0) and 11) be orthonormal, the states may be chosen arbitrarily. For instance, in the case of photon polariza¬ tion, we may choose |0) an...
quantumcomputing/2276_f0b39f7bd928adc8_19.txt
For the classical circuit depth required to solve the HLF problem, Bravyi et al. provide a lower bound for large nn. However, the logarithmic scaling of these bounds implies relevance only for n∼106n\sim 10^{6} qubits, far beyond current experimental sizes. In the absence of a theoretical lower bound for near-term devi...
quantumcomputing/8652_a66272136ab3b629_6.txt
* **Shor’s algorithm,** using quantum Fourier transform, finds the prime factors of large numbers exponentially faster than the best classical algorithms. This has massive implications in cryptography since it breaks RSA encryption, which relies on prime factoring being difficult, and secures most of the internet today...
quantumcomputing/4625_578753610752009e_143.txt
Consider now the Mach–Zehnder neutron interferometer shown in Fig. 6.1. The neutron is introduced through the lower beam, so that its initial state is |l, s for some spin state |s. With no magnetic field, θ = 0 and spins in both beams are unrotated. It is easy to see that the constructive and destructive interference ...
quantumcomputing/22108_db9c0f2f4b6f960d_653.txt
In this project, we have implemented our basic understanding of Pulsar Astronomy to calculate the Time Period of Vela Pulsar. Our choice of pulsar rests on the fact that it is the brightest object in the high energy gamma ray sky. The simplistic data set consisting of only voltage signals makes our preliminary attempt ...
quantumcomputing/84f3ab5b_14669.txt
Classically simulating intermediate-scale instantaneous quantum polynomial circuits through a random graph approach Julien Codsi and John van de Wetering Show abstract ⇲ Show bibdata ⇲ Physical Review A Keywords: Classical Simulation, Clifford+T, Automation, ZX-calculus, Applied. Quantum Supremacy is a demonstration of...
quantumcomputing/3960_4138ecdb10326a58_42.txt
Hi Sabine I cannot agree with your conclusion about the MWI. As far as I know, the interpretation has been revitalized in the last 20 years and rendered more "plausible": 1. The wavefunction evolving according to the Schrödinger equation is ontologically real and so are the splitting worlds (PBR Theorem) 2. Branching o...
quantumcomputing/f91c5c16_116232.txt
displaystyle begin aligned rho amp; frac 1 2 left(I vec a cdot vec sigma right) amp; frac 1 2 begin pmatrix 1 amp;0 0 amp;1 end pmatrix frac a _ x 2 begin pmatrix 0 amp;1 1 amp;0 end pmatrix frac a _ y 2 begin pmatrix 0 amp;-i i amp;0 end pmatrix frac a _ z 2...
quantumcomputing/3815_25e803ea0f816b07_8.txt
For the same problem, the circuit can be further optimized to improve its efficiency. In a two-dimensional classic Ising model, a spin has 4 neighbors, giving a total of 24=162^{4}=16 different combinations, with the central spin’s direction fixed. Among all of these combinations, only 5 of them will lead to a positive...
quantumcomputing/6edc5e51_123913.txt
Use cases: Some physical interactions naturally implement iSWAP. For example, in superconducting qubits with capacitive coupling, an iSWAP operation (exchange of excitations) can occur. In ion traps, the Molmer-Sorensen gate is more akin to an XX interaction (which can be turned into something like iSWAP or iSWAP with...
quantumcomputing/14994_cdd61dafb85483f2_110.txt
The of a qubit’s state is a little more complicated with a much wider range of values than a classical bit. To describe the quantum superposition of a qubit requires complex numbers, for example a single qubit’s quantum superposition ψ (a common notation for a superposition, the Greek symbol Psi) could be described as...
quantumcomputing/22087_d3b3bff6b46e90f8_118.txt
component of the NC-synthetic machinery. It serves as a guideline for anchoring the biological synthesis of the PKS, NRPS, and fatty acid synthase (FAS) systems [56]. Carrier protein (CP) domains can be marked enzymatically in vitro by using CoA analogues and Phosphopantetheinyl transferases (PPTase) or in vivo by tagg...
quantumcomputing/22087_69ca229ec5299de3_2085.txt
A link L in the 3-sphere is called chi-slice if it bounds a properly embedded surface F in the 4-ball with Euler characteristic 1. If L is a knot, then this definition coincides with the usual definition of sliceness. One feature of such a link L is that if the determinant of L is nonzero, then the double cover of the ...
quantumcomputing/29980_381d5d6dcc25ca8d_14.txt
Filip #99: Running Shor’s algorithm on Willow, the biggest number you can factor will probably be bigger than 15 but still very small (2-3 digits). To run Shor’s algorithm at any significant scale, we’ve known for decades that you’ll need error-correction, which (as currently understood) induces a massive blowup, on th...
quantumcomputing/0e6b08fe_5388.txt
What does it mean to make a model for the universe? If we just want to know what the universe does, well, then we have the universe, and we can just watch what it does. But when we talk about making a model, what we really mean is that we want to have a representation of the universe that somehow connects it to what we...
quantumcomputing/3960_98c38b4b94bcbcbd_47.txt
*In 1-3.A.1.b.10., F is the offset from the operating frequency in Hz and f is the operating frequency in MHz.* * 11. 'Frequency synthesiser' "electronic assemblies" having a "frequency switching time" specified by any of the following: + Less than 143 ps; + Less than 100 μs for any frequency change exceeding 2.2 GHz w...
quantumcomputing/10115_80ceca0747858829_165.txt
Heavy metals are toxic pollutants that persist in ecosystems and bioaccumulate, causing chronic health issues such as neurological damage and cardiovascular diseases. Many of these metals are byproducts of industrial activities. Since the 1630s, industries along the Lower Neponset River in Eastern Massachusetts have in...
quantumcomputing/22087_cfa6e6481b8cd2bd_431.txt
In 1983, Faltings proved the Mordell Conjecture: a smooth projective curve of genus at least $2$ that is defined over a number field $K$ has at most finitely many $K$-rational points. Several years later Votja gave a new proof. Neither proof provides a procedure to determine the set of rational points, they are ineffec...
quantumcomputing/32894_979fc1e5faab2aa1_61.txt
Knowledge Graphs (KGs) are pivotal in various NLP applications but often grapple with incompleteness, especially due to the long-tail problem where infrequent, unpopular relationships drastically reduce the KG completion performance. In this paper, we focus on Few-shot Knowledge Graph Completion (FKGC), a task addressi...
quantumcomputing/32894_fc39bbe803b856a5_25.txt
Source localization in graph information propagation is essential for mitigating network disruptions, including misinformation spread, cyber threats, and infrastructure failures. Existing deep generative approaches face significant challenges in real-world applications due to limited propagation data availability. We p...
quantumcomputing/76571a13_5076.txt
Required, but never shown By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. Start asking to get answers Find the answer to your question by asking. Explore related questions See similar questions with these tags.
quantumcomputing/34011_a5801def072ec91c_66.txt
However, does this imply that moral qualities are primary qualities, like shape? Wright denies this analogy too. Primary qualities interact with other qualities of the object, as well as the perceiver, in various ways, but moral qualities “lack this diversity of interactive role” (1988, 25, fn. 36). Primary qualities, ...
quantumcomputing/13334_db9c0f2f4b6f960d_1272.txt
Many people organise themselves online in social networks or knowledge in open encyclopaedias. However, these networks do not only belong to humans. A huge variety of socialbots that imitate humans inhabit these and are connected to each other. The connections between socialbots lead to mutual influences between them....
quantumcomputing/25925_723fd0fbfe5d7a11_126.txt
``` @article{c.magdalenadelafuente2024xyz, author = {C. Magdalena de la Fuente, Julio and Old, Josias and Townsend-Teague, Alex and Rispler, Manuel and Eisert, Jens and M{\"u}ller, Markus}, title = {{The XYZ ruby code: Making a case for a three-colored graphical calculus for quantum error correction in spacetime}}, yea...
quantumcomputing/14994_cba8c028ccf9b6c3_55.txt
was delayed for about 500 ms after the cortical stimulation did the subjects report feeling the two stimuli simultaneously. The skin-induced experience appeared to have no delay. The cortically induced experience was delayed 500 ms relative to the skin-induced sensation. So both skin-induced and cortically-induced sens...
quantumcomputing/5147_2ed2d1df17fe28a3_322.txt
One thing we learn by trying to construct interesting physics using reversible classical computational models is that the issues can be subtle. For example, macroscopic entropic time can be very different than microscopic computational time. Time for macroscopic creatures follows the increase of coarse-grained entropy,...
quantumcomputing/32894_72cabeb6d560b66c_466.txt
Cyber-physical systems are notoriously hard to verify due to the complex interaction between continuous physical behavior and discrete control. A widespread and important class is formed by digital controllers that operate on fixed control cycles to interact with the physical environment they are embedded in. This pape...
quantumcomputing/2276_67d6bfad8dda8602_5.txt
The combination of quantum gates allows to achieve tasks that would require more complicated gates if done classically. Some examples are listed in Fig. 4. Consider the operation U=H1⁢H2⁢C12⁢H1⁢H2, which first applies Hadamard gates to the two qubits, then acts with a CNOT gate, and finally again applies Hadam...
quantumcomputing/27984_889bcb3d28cecf3a_106.txt
Classical computation is modular. It exploits plug n’ play architectures which allow us to use pre-fabricated circuits without knowing their construction. This bestows advantages such as allowing parts of the computational process to be outsourced, and permitting individual circuit components to be exchanged and upgr...
quantumcomputing/14816_5f2deb247b7d4485_140.txt
strometry is the precision side of astronomy. It answers the kinematic questions of astrophysics like: Where? How far? How big? How fast? For instance, the search by James Bradley (1693–1762) for stellar parallax in 1728 was a problem in astrometry. He found instead stellar aberration, which is the effect of the motion...
quantumcomputing/4628_578753610752009e_183.txt
The state vector |ψ was associated with the density operator ρ = |ψψ| . Eq. 8.3 here is identical to Eq. 3.72 there. Explain how the previous concept of the density operator is a special case of the present one. This sort of probabilistic combination of states is called a mixture of states, and the resulting situati...
quantumcomputing/22087_69ca229ec5299de3_1375.txt
We give the first polynomial upper bound on the mixing time of the edge-flip Markov chain for unbiased dyadic tilings, resolving an open problem originally posed by Janson, Randall, and Spencer in 2002. The technique used, adapted from spin system analysis in statistical physics and not widely used in computer science ...
quantumcomputing/175_40094682244c3a83_92.txt
We introduce a novel perspective on Bayesian reinforcement learning (RL); whereas existing approaches infer a posterior over the transition distribution or Q-function, we characterise the uncertainty in the Bellman operator. Our Bayesian Bellman operator (BBO) framework is motivated by the insight that when bootstrappi...
quantumcomputing/5afcc282_115960.txt
The other one, which we have presented above, is more restrictive from a polarimetric viewpoint. It refers to the interaction between deterministic devices media and polarized light. In this field, a device medium is called depolarizing, if it reduces the degree of polarization of the input light, and enpolarizing, if ...
quantumcomputing/44116_d2459b6037275255_78.txt
We note several observations made in comparing physical and logical implementations of these complex circuits. First, empirically, it seems that the logical circuit is much more tolerant to coherent errors49."),110."),111."), and understanding the manifestations of this is a subject of continuing investigation. Specifi...
quantumcomputing/24212_3fc4c296cc68989d_137.txt
To date, graphene grown on the Si-face has a RT μ up to ∼500–2000 cm2 V−1 s−1 (ref. 775), with higher values on the C-face (∼10![thin space (1/6-em)]000–30![thin space (1/6-em)]000 cm2 V−1 s−1).775–777 For near-intrinsic samples (8.5 × 1010 cm−2)784 RT mobilities up to ∼150![thin space (1/6-em)]000 cm2 V−1 s−1 on C-fac...
quantumcomputing/da9bf90c_116231.txt
The representation is always unique, because, even though the value of ϕ displaystyle phi is not unique when ψ displaystyle psi rangle is one of the states (see Bra-ket notation ) 0 displaystyle 0 rangle or 1 displaystyle 1 rangle , the point represented by θ displaystyle theta an...
quantumcomputing/13334_44b7365178791961_80.txt
Apparently, the top Radeon RX SKU based on the next-gen RDNA4 graphics architecture will offer performance comparable to that of the current RX 7900 XTX, but at less than half its price (around the $400 mark). It is also expected to achieve this performance target using a smaller, simpler silicon, with significantly lo...