This paper proposes a necessary clarification about the problematic of super-quantum correlations, whose mainstream debate relies on an incorrect, statistical interpretation of the no-signaling condition. The no-signa...This paper proposes a necessary clarification about the problematic of super-quantum correlations, whose mainstream debate relies on an incorrect, statistical interpretation of the no-signaling condition. The no-signaling condition is an informational constraint that limits the strength of non-local correlations to the Tsirelson bound.展开更多
Super-quantum discord（SQD） with weak measurement is regarded as a kind of quantum correlation in quantum information processing. We compare and analyze the dynamical evolutions of SQD, quantum discord（QD）, and qua...Super-quantum discord（SQD） with weak measurement is regarded as a kind of quantum correlation in quantum information processing. We compare and analyze the dynamical evolutions of SQD, quantum discord（QD）, and quantum entanglement（QE） between two qubits in the correlated dephasing environmental model. The results indicate that（i） owing to the much smaller influence of weak measurement on the coherence of the system than that of von Neumann projection measurement, SQD with weak measurement is larger than QD, and（ii） dynamical evolution of QD or QE monotonically goes to zero with time, while SQD monotonically tends to a stable value and a freezing phenomenon occurs. The stable value after freezing mainly depends on the measurement strength and the purity of the initial quantum state.展开更多
In the paper “Super-Quantum Correlations: A Necessary Clarification” by Uzan <a href="#ref1">[1]</a>, it is suggested that stronger than quantum (or supra-quantum) correlations are not possible...In the paper “Super-Quantum Correlations: A Necessary Clarification” by Uzan <a href="#ref1">[1]</a>, it is suggested that stronger than quantum (or supra-quantum) correlations are not possible. The main point of Uzan’s argumentation is the belief that the intuitive definition of No-Signalling (<em>NS</em>) is different from the statistical definition of No-Signalling (<em>NS</em><em><sub>stat</sub></em>), and that situations exist where <em>NS<sub>stat</sub></em> is respected while <em>NS</em> isn’t. In this paper we show why these definitions are one and the same, and where the example from the original paper breaks down. We provide a broader context to help the reader understand intuitively the situation.展开更多
首先给出了量子最弱自由前置条件(weakest liberal precondition,简称wlp)wlp(A,B,C)-可交换的定义,研究了wlp(A,B,C)-可交换的充分必要条件;其次,得到了wlp不是良好的谓词转换,验证了wlp是比量子最弱前置条件(weakest precondition,简...首先给出了量子最弱自由前置条件(weakest liberal precondition,简称wlp)wlp(A,B,C)-可交换的定义,研究了wlp(A,B,C)-可交换的充分必要条件;其次,得到了wlp不是良好的谓词转换,验证了wlp是比量子最弱前置条件(weakest precondition,简称wp)更弱的谓词转换,揭示了wlp和wp的本质区别;最后证明了wlp的序列合成、并行合成和块结构等性质.展开更多
文摘This paper proposes a necessary clarification about the problematic of super-quantum correlations, whose mainstream debate relies on an incorrect, statistical interpretation of the no-signaling condition. The no-signaling condition is an informational constraint that limits the strength of non-local correlations to the Tsirelson bound.
基金Project supported by the National Natural Science Foundation of China(Grant No.11264015)
文摘Super-quantum discord（SQD） with weak measurement is regarded as a kind of quantum correlation in quantum information processing. We compare and analyze the dynamical evolutions of SQD, quantum discord（QD）, and quantum entanglement（QE） between two qubits in the correlated dephasing environmental model. The results indicate that（i） owing to the much smaller influence of weak measurement on the coherence of the system than that of von Neumann projection measurement, SQD with weak measurement is larger than QD, and（ii） dynamical evolution of QD or QE monotonically goes to zero with time, while SQD monotonically tends to a stable value and a freezing phenomenon occurs. The stable value after freezing mainly depends on the measurement strength and the purity of the initial quantum state.
文摘In the paper “Super-Quantum Correlations: A Necessary Clarification” by Uzan <a href="#ref1">[1]</a>, it is suggested that stronger than quantum (or supra-quantum) correlations are not possible. The main point of Uzan’s argumentation is the belief that the intuitive definition of No-Signalling (<em>NS</em>) is different from the statistical definition of No-Signalling (<em>NS</em><em><sub>stat</sub></em>), and that situations exist where <em>NS<sub>stat</sub></em> is respected while <em>NS</em> isn’t. In this paper we show why these definitions are one and the same, and where the example from the original paper breaks down. We provide a broader context to help the reader understand intuitively the situation.
文摘首先给出了量子最弱自由前置条件(weakest liberal precondition,简称wlp)wlp(A,B,C)-可交换的定义,研究了wlp(A,B,C)-可交换的充分必要条件;其次,得到了wlp不是良好的谓词转换,验证了wlp是比量子最弱前置条件(weakest precondition,简称wp)更弱的谓词转换,揭示了wlp和wp的本质区别;最后证明了wlp的序列合成、并行合成和块结构等性质.
