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
Conclusive exclusion of quantum states
TL;DR: The authors' SDP is used to derive a bound on how well a class of hidden variable models can perform at a particular task, proving an analog of Tsirelson's bound for the PBR experiment and the optimality of a measurement given by PBR in the process.
87
Assisted state discrimination without entanglement
TL;DR: In this paper, it was shown that only one side discord is required in the optimal process of assisted state discrimination, while another side discord and entanglement is not necessary, and the positive-partial-transposition condition is the necessary and sufficient condition for the separability of a class of 2 x d states.
Verifying the quantumness of a channel with an untrusted device
TL;DR: This perspective sheds light on why the BB84 key distribution protocol can be secure, even with an untrusted measuring device, leading to an uncertainty relation for arbitrary pairs of ensembles.
Structure of minimum-error quantum state discrimination
TL;DR: In this paper, the authors considered the problem of minimum-error quantum state discrimination where one attempts to minimize the average error and showed that the problem can be solved analytically with equal prior probabilities.
84
Quantum State Seperation, Unambiguous Discrimination and Exact Cloning
Anthony Chefles,Stephen M. Barnett +1 more
- 18 Dec 1998
TL;DR: In this paper, the maximum probability with which two equiprobable quantum states can be separated by an arbitrary degree was obtained, and it was shown that the established bounds on the success probabilities for discrimination and cloning are special cases of this general bound.
80
References
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Mathematical Foundations of Quantum Mechanics
John von Neumann
- 01 Jan 1955
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.
5.2K
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.
4.4K
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.