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A Quantum-mechanical Model of Histone Modification in Gene
A Quantum-mechanical Model of Histone Modification in Gene

... single HM transition, the amplitude of pair transition is the summation of single transitions. So, a pair of histone modifications occurring not far from each other in the polypeptide chain can effectively strengthen the cooperative transition and enhance the transition rate. The superposition of pr ...
Introduction to the Bethe Ansatz I
Introduction to the Bethe Ansatz I

... In 1931 Hans Bethe2 presented a method for obtaining the exact eigenvalues and eigenvectors of the onedimensional (1D) spin-1/2 Heisenberg model, a linear array of electrons with uniform exchange interaction between nearest neighbors. Bethe’s parametrization of the eigenvectors, the Bethe ansatz, ha ...
MODULE MAPS OVER LOCALLY COMPACT QUANTUM GROUPS
MODULE MAPS OVER LOCALLY COMPACT QUANTUM GROUPS

... Let G = (L∞ (G), Γ, ϕ, ψ) be a von Neumann algebraic locally compact quantum group and let L1 (G) be the convolution quantum group algebra of G. If we let C0 (G) be the reduced C ∗ -algebra associated with G, then its operator dual M (G) is a faithful completely contractive Banach algebra containing ...
Physical Entanglement in Permutation
Physical Entanglement in Permutation

... The physical significance of the concept, which I here call GMW-entanglement, is enshrined in three biconditionals the analogues of which hold for the standard concept of entanglement for “distinguishable” systems; i.e. systems for which permutation invariance is not imposed. These three biconditio ...
Measurements in Proof Nets as Higher
Measurements in Proof Nets as Higher

... Quantum Programming Languages. Quantum computation and quantum communication have been attracting growing attention. The former achieves real breakthrough in computational power—at least for some classes of problems, such as the integer factorization problem (Shor’s algorithm) and search problems. W ...
Do relations require underlying intrinsic properties? A physical
Do relations require underlying intrinsic properties? A physical

Infinite-randomness quantum Ising critical fixed points
Infinite-randomness quantum Ising critical fixed points

Quantum Physics of Nature QuPoN 2015 Book of Abstracts
Quantum Physics of Nature QuPoN 2015 Book of Abstracts

... In this talk, the basic tool box of the Innsbruck quantum information processor based on a string of trapped Ca+ ions will be reviewed. For quantum information science, the toolbox operations are used to encode one logical qubit in entangled states distributed over seven trapped-ion qubits. We demon ...
Hamiltonian and measuring time for analog quantum search
Hamiltonian and measuring time for analog quantum search

... to understand that the object can never be reached exactly unless the target items are N/4 among N items. In orther words, the marked states can only be approached asymptotically as N is large, since then the rotating angle in each step is small. Neverthless, it has been proposed that no matter whet ...
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ARTICLES MASANORI KOHNO
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ARTICLES MASANORI KOHNO

... by the number of excited spinons, which is always even for any physical state. Remarkably, truncating to the first non-trivial ...
The Physical World as a Virtual Reality
The Physical World as a Virtual Reality

... and Schrödinger’s wave equation in 1925. Despite initial skepticism, these theories met every logical and experimental test their critics could devise and amazed even their advocates, as Fermi predicted the neutrino in 1933 before it was found in 1953 and Dirac predicted anti-matter before it too wa ...
Studies in Quantum Information Theory
Studies in Quantum Information Theory

Quantum Correlations in Information Theory
Quantum Correlations in Information Theory

... quantum entanglement, i.e. peculiar correlations described by quantum laws which are shared, for example, between the sender and the receiver of a message. However, it has been recently shown that entanglement is not the most general form of quantum correlations. Even unentangled states of compound ...
A semi-classical picture of quantum scattering
A semi-classical picture of quantum scattering

... in general dimension d. The case U = 0 is nothing but the well-known semi-classical asymptotics. In a former article [26], we established the relationship between the case V = 0 and quantum scattering. Indeed setting t1 = ^ and x ' == ^ makes the asymptotics h —> 0 equivalent to t' —^ oo and x ' —> ...
A Priori Probability and Localized Observers
A Priori Probability and Localized Observers

... Widespread dissatisfaction has been expressed about every interpretation of quantum theory proposed in the course of the last sixty years. I suspect that any successful interpretation will have to introduce so many difficult ideas as to be, in its entirety, well-nigh incomprehensible at first sight. ...
AN INDEX THEORY FOR QUANTUM DYNAMICAL SEMIGROUPS 1
AN INDEX THEORY FOR QUANTUM DYNAMICAL SEMIGROUPS 1

... The constructions are based on weak Markov dilations ([Bh], [BP2]) of quantum dynamical semigroups (semigroups of contractive completely positive maps on a C ∗ -algebra). This theory allows us to construct a family j = {jt } of (non-unital) ∗-homomorphisms, jt : B(H0 ) → B(H), for some Hilbert space ...
Mathematical foundation of quantum annealing
Mathematical foundation of quantum annealing

Statistical Mechanics to Disordered Quantum Optimization
Statistical Mechanics to Disordered Quantum Optimization

... have used this approach to supplement worst-case hardness results encoded by complexity theory with detailed information about thermodynamic and dynamic phase transitions in the structure of typical cases. This exchange of ideas between classical statistical mechanics and computer science enabled th ...
Algebraic approach to interacting quantum systems
Algebraic approach to interacting quantum systems

... one-dimensional t-Jz [6] model belongs to this class of problems. It is important to remark that this quasi-exact solution leads to the exact determination of the quantum phase diagram and the charge excitations of the t-Jz model. A new notion beyond Landau’s concept of broken symmetry [7, 8] is the ...
A Mathematical Characterization of the Physical Structure of Observers
A Mathematical Characterization of the Physical Structure of Observers

Hybrid opto-mechanical systems with nitrogen
Hybrid opto-mechanical systems with nitrogen

Transposition in Quantum Information Theory
Transposition in Quantum Information Theory

Quantum Probability and Decision Theory, Revisited
Quantum Probability and Decision Theory, Revisited

On the conundrum of deriving exact solutions from approximate
On the conundrum of deriving exact solutions from approximate

... and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local master equation approach already in second order of the system–bath coupling strength. We reveal that this equivalence holds if the initial state of the bath can be m ...
Quantum Fields on Noncommutative Spacetimes: gy ?
Quantum Fields on Noncommutative Spacetimes: gy ?

... in CMB spectrum analysis and Pauli-forbidden transition in Be4 are all effects which show up in such a noncommutative setting. We review how they appear and in particular the constraint we can infer from comparison between theoretical computations and experimental bounds on such effects. The best bo ...
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Quantum machine learning

Quantum machine learning is a newly emerging interdisciplinary research area between quantum physics and computer science that summarises efforts to combine quantum mechanics with methods of machine learning. Quantum machine learning models or algorithms intend to use the advantages of quantum information in order to improve classical methods of machine learning, for example by developing efficient implementations of expensive classical algorithms on a quantum computer. However, quantum machine learning also includes the vice versa approach, namely applying classical methods of machine learning to quantum information theory.Although yet in its infancy, quantum machine learning is met with high expectations of providing a solution for big data analysis using the ‘parallel’ power of quantum computation. This trend is underlined by recent investments of companies such as Google and Microsoft into quantum computing hardware and research. However, quantum machine learning is still in its infancy and requires more theoretical foundations as well as solid scientific results in order to mature to a full academic discipline.
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