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Analogies between classical and quantum processes

Spectral properties of simple classical and quantum reset processes

Spectral properties of simple classical and quantum reset processes

... stochastic processes but also, as we have shown, to closed and open quantum systems modelled by Lindblad- type ...and quantum processes, including reset Brownian motion and the transverse ...

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Strong and Weak Optimizations in Classical and Quantum Models of Stochastic Processes

Strong and Weak Optimizations in Classical and Quantum Models of Stochastic Processes

... · Quantum information 1 Introduction When studying classical stochastic processes, we often seek models and representations of the underlying system that allow us to simulate and predict future ...

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Geometry and symmetry of quantum and classical-quantum dynamics.

Geometry and symmetry of quantum and classical-quantum dynamics.

... on analogies with the variational structure of the Ehrenfest mean-field model of mixed classical-quantum ...the quantum Liouville ...the classical-quantum Hamiltonian is ...

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Classical and Quantum Artificial Life

Classical and Quantum Artificial Life

... in quantum platforms, establishing analogies between the a priori unconnected fields of artificial life and quantum mechanics: living units capable of reproducing depending on a process of ...

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Communicating quantum processes

Communicating quantum processes

... combine quantum and classical communication and ...of quantum protocols, and we have outlined some possibilities for the use of both standard and probabilistic ...

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About Classical to Quantum Weyl Correspondence

About Classical to Quantum Weyl Correspondence

... Despite the somehow beautiful application of the Jacobi polynomials to the Weyl correspondence this is not fully satisfying because it is not clear how the expectation values of large categories of calculated operators ...

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Quantum Computation: Towards the Construction of a Between Quantum and Classical Computer

Quantum Computation: Towards the Construction of a Between Quantum and Classical Computer

... the quantum computer requires the application of various state manipulations according to some quantum ...the quantum register evolves continuously in time. In the case of quantum computations ...

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Comparisons of Performance between Quantum and Classical Machine Learning

Comparisons of Performance between Quantum and Classical Machine Learning

... the quantum SVMs were short—typically taking a few microseconds—the queuing times were long in ...kernel-based quantum SVM on the Breast Cancer Wisconsin data set, the code execution time from running the ...

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Occam s Quantum Strop: Synchronizing and Compressing Classical Cryptic Processes via a Quantum Channel

Occam s Quantum Strop: Synchronizing and Compressing Classical Cryptic Processes via a Quantum Channel

... channel, quantum state overlap, von Neumann entropy, Shannon entropy rate, excess entropy, unifilarity Discovering and describing correlation and pattern are critical to progress in the physical ...
Classical/Quantum=Commutative/Noncommutative?

Classical/Quantum=Commutative/Noncommutative?

... Still, Dirac may be right that we need to change a single assumption to get a transition between classical mechanics and quantum. But, it shall not be a move from commutative to noncommutative. ...

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Mixing quantum and classical mechanics

Mixing quantum and classical mechanics

... interaction between quantum and classical degrees of freedom is impos- sible, ...only, quantum-classical interactions naturally ...scribe quantum-classical mixing do ...

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Entanglement and the quantum classical transition

Entanglement and the quantum classical transition

... gap between theo- reticians and ...links between the laws of thermodynamics and ...of quantum mechanics, and provide information that might eventually lead to a more unified ...unification ...

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Classical computation by quantum bits

Classical computation by quantum bits

... a classical circuit (we also exemplify this ...whole classical circuit will then simply be a 2D pattern of the widgets im- plementing the fundamental gates, where each such gate is implemented by a ...

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Computation and Dynamics: Classical and Quantum

Computation and Dynamics: Classical and Quantum

... first introduced in works of E. Post and A. Turing, see [10, § 1.4.5 and § 2.6] for his- torical notes and further references. We are going to demonstrate and exploit an explicit analogy between the pro- cess of ...

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On the Classical Scaling of Quantum Entanglement

On the Classical Scaling of Quantum Entanglement

... the Classical Scaling of Quantum Entanglement Pierre ...the classical scaling of quantum entan- glement observed ...over classical scales and preventing the entanglement from collapsing ...

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Classical limit and quantum logic

Classical limit and quantum logic

... of classical and quantum systems, and we discuss the principal difference between them: the distributive ...the classical limit from a logical point of ...the classical limit ...the ...

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Classical and Quantum Logic Gates:

Classical and Quantum Logic Gates:

... multi-valued quantum logic is to avail of the greater information capacity of multi-level atomic ...difference between binary and multi-valued logic that applies equally well to the classical and ...

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Quantum versus Classical Learnability

Quantum versus Classical Learnability

... different quantum lower bound techniques and demon- strate an interesting relationship between lower bound techniques in quantum computation and computational learning ...a quantum learning ...

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Classical Verification of Quantum Proofs

Classical Verification of Quantum Proofs

... is classical and samples questions of logarithmic size and expects answers of constant ...connection between the theory of QMA-completeness and Hamiltonian complexity on one hand, and the study of nonlocal ...

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Quantum Mechanics as Classical Physics

Quantum Mechanics as Classical Physics

... why quantum mechanics is in need of a more precise formulation and discuss two no-collapse theories: the many- worlds interpretation and Bohmian ...Bohmian quantum mechanics in explaining the connection ...

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