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
Mathematical nature of and a family of lower bounds for the success probability of unambiguous discrimination
TL;DR: It is pointed out that the optimal success probability of unambiguous discrimination is mathematically the well-known semidefinite programming problem.
Quantum-state discrimination
TL;DR: In this paper, a physical implementation of a quantum-state discrimination protocol using an ion in a linear trap is studied, where two nonorthogonal quantum states are codified using two electronic states of the ion.
Some remarks on effects, operations, and unsharp measurements
TL;DR: A brief survey of some important features of generalized quantum mechanics and its measurement theory is given in this paper, together with an overview of papers and monographs representative of the rather new research field dealing with these subjects.
Demonstration of optimal non-projective measurement of binary coherent states with photon counting
M. T. DiMario,F. E. Becerra +1 more
TL;DR: In this article , the authors proposed a non-projective quantum measurement with high fidelity for the discrimination of binary coherent states using linear optics and single-photon detection, which can be seen as a more general measurement paradigm for quantum information and communication.
Probabilistic metrology or how some measurement outcomes render ultra-precise estimates
TL;DR: In this article, the authors show that even in the presence of noise, probabilistic measurement strategies (which have a certain probability of failure or abstention) can provide estimates with a precision that exceeds the deterministic bounds for the average precision.
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.