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Temporal inequalities for sequential multi-time actions in quantum information processing

Uniwersytet Gdański

Jan 1, 20140 citations

Quantum Speedup and Temporal Inequalities for Sequential Actions

Marek Żukowski

WORLD SCIENTIFIC eBooksOct 18, 20122 citations

Temporal inequalities for sequential multi-time actions in quantum information processing

Marek Żukowski

A new kind of temporal inequalities are discussed, which apply to algorithmic processes, involving a finite memory processing unit. They are an alternative to the Leggett-Grag ones, as well as to the modified ones by Brukner et al . If one considers comparison of quantum and classical processes involving systems of finite memory (of the same capacity in both cases), the inequalities give a clear message why we can expect quantum speed-up. In a classical process one always has clearly defined values of possible measurements, or in terms of the information processing language, if we have a sequential computations of some function depending on data arriving at each step on an algorithm, the function always has a clearly defined value. In the quantum case only the final value, after the end of the algorithm, is defined. All intermediate values, in agreement with Bohr’s complementarity, cannot be ascribed a definite value.A new kind of temporal inequalities are discussed, which apply to algorithmic processes, involving a finite memory processing unit. They are an alternative to the Leggett-Grag ones, as well as to the modified ones by Brukner et al . If one considers comparison of quantum and classical processes involving systems of finite memory (of the same capacity in both cases), the inequalities give a clear message why we can expect quantum speed-up. In a classical process one always has clearly defined values of possible measurements, or in terms of the information processing language, if we have a sequential computations of some function depending on data arriving at each step on an algorithm, the function always has a clearly defined value. In the quantum case only the final value, after the end of the algorithm, is defined. All intermediate values, in agreement with Bohr’s complementarity, cannot be ascribed a definite value.

Frontiers of PhysicsNov 26, 201318 citations

Temporal Leggett-Garg-Bell inequalities for sequential multi-time actions in quantum information processing, and a re-definition of Macroscopic Realism

Marek Żukowski

The usual formulation of Macrorealism is recast to make this notion fully concurrent with the basic ideas behind classical physics. The assumption of non-invasiveness of measurements is dropped. Instead, it is assumed that the current state of the system defines full initial conditions for its subsequent evolution. An example of a new family of temporal Bell inequalities is derived which can be applied to processes in which the state of the system undergoes arbitrarily many transformations (which was not the case in the original approach). An exponential (in terms of number of operations) violation of this inequality is demonstrated theoretically. Finally it is shown that such inequalities were indirectly tested in a 2005 experiment by the Weinfurter group.The usual formulation of Macrorealism is recast to make this notion fully concurrent with the basic ideas behind classical physics. The assumption of non-invasiveness of measurements is dropped. Instead, it is assumed that the current state of the system defines full initial conditions for its subsequent evolution. An example of a new family of temporal Bell inequalities is derived which can be applied to processes in which the state of the system undergoes arbitrarily many transformations (which was not the case in the original approach). An exponential (in terms of number of operations) violation of this inequality is demonstrated theoretically. Finally it is shown that such inequalities were indirectly tested in a 2005 experiment by the Weinfurter group.

arXiv:1009.1749Sep 9, 20102 citations

Control problems in quantum systems

Rebing, Wu, Jing +7 more

过去的十年或二在量控制技术的理论和实践见证巨大的进步。衔接从基本粒子物理到纳米技术的不同科学学科，量控制的目标是开发有效、有效的工具因为普通分析和设计，而是更多将重要地为未来铺平道路工艺的应用程序。这篇文章简短从当模特儿，分析和图案的观点考察基本的量控制理论，以及考虑未来研究方向。

中国科学通报：英文版Jan 1, 20120 citations

Information-theoretic temporal Bell inequality and quantum computation (5 pages)

Fumiaki Morikoshi

Physical Review AJan 1, 20063 citations

Temporal inequalities for sequential multi-time actions in quantum information processing

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Temporal inequalities for sequential multi-time actions in quantum information processing

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