Journal Article10.1016/0375-9601(87)90222-2
How to differentiate between non-orthogonal states
791
TL;DR: In this article, a generalized measurement can be constructed which performs this task better than any combination of standard quantum measurements, and it is shown that the generalized measurement performs better than a combination of quantum measurements.
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About: This article is published in Physics Letters A. The article was published on 17 Aug 1987. The article focuses on the topics: One-way quantum computer & Quantum algorithm.
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Citations
Upper bounds on the performance of differential-phase-shift quantum key distribution
TL;DR: In this paper, a sequential attack based on optimal unambiguous discrimination of the relative phases between consecutive signal states emitted by the source is proposed to provide tighter upper bounds for the security of a differential phase shift (DPS) QKD scheme than those derived from sequential attacks where the eavesdropper aims to identify the state of each signal emitted by a source unambiguously.
Optimally conclusive discrimination of nonorthogonal entangled states by local operations and classical communications
Yi-Xin Chen,Dong Yang +1 more
TL;DR: In this paper, one copy of a quantum system prepared with equal prior probability in one of two nonorthogonal entangled states of multipartite distributed among separated parties is shown that these two states can be optimally distinguished in the sense of conclusive discrimination by local operations and classical communications alone.
Analysis of Optimal Sequential State Discrimination for Linearly Independent Pure Quantum States
Min Namkung,Younghun Kwon +1 more
TL;DR: A method is presented for extending the original sequential state discrimination of two qubit states to a scheme of N linearly independent pure quantum states and it is shown that the sequential statediscrimination of three qutrit states performs better than the strategy of probabilistic quantum cloning.
Two-time state formalism for quantum eavesdropping
TL;DR: This work presents a method for optimizing eavesdropping strategies which is closely related to the two-time state formalism, the natural way to analyze such scenarios; it converts the task of optimization into an eigenvalue problem.
Programmable discriminator of coherent states: Experimental realization
TL;DR: In this article, an optical implementation of the recently proposed unambiguous identification of coherent states is presented, which works as a programmable discriminator between two, in general nonorthogonal, weak coherent states.
References
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Mathematical Foundations of Quantum Mechanics
John von Neumann
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TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
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Mathematical Foundations of Quantum Mechanics
John von Neumann
- 01 Jan 1996
TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
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Formal state determination
TL;DR: Park and Band as discussed by the authors showed that any state of a quantal ensemble allowed by the Hilbert space formulation of nonrelativistic quantum mechanics can be determined from the results of measurements, under the assumption that all measurements, those of energy, position, and spin projection, are in accordance with the projection postulate.