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The discrimination between two unknown states can be performed by a universal programmable discriminator, where the copies of the two possible states are stored in two program systems respectively and the copies of data, which we want to…

量子物理 · 物理学 2015-09-03 Tao Zhou , Xiaohua Wu , Gui Lu Long

We describe a class of programmable devices that can discriminate between two quantum states. We consider two cases. In the first, both states are unknown. One copy of each of the unknown states is provided as input, or program, for the two…

量子物理 · 物理学 2009-11-13 Janos A. Bergou , Vladimir Buzek , Edgar Feldman , Ulrike Herzog , Mark Hillery

We construct a device that can unambiguously discriminate between two unknown quantum states. The unknown states are provided as inputs, or programs, for the program registers and a third system, which is guaranteed to be prepared in one of…

量子物理 · 物理学 2009-11-11 Janos Bergou , Mark Hillery

We consider the unambiguous discrimination between two unknown qudit states in $n$-dimensional ($n\geqslant2$) Hilbert space. By equivalence of unknown pure states to known mixed states and with the Jordan-basis method, we demonstrate that…

量子物理 · 物理学 2013-08-26 Tao Zhou

Quantum state discrimination is a fundamental primitive in quantum statistics where one has to correctly identify the state of a system that is in one of two possible known states. A programmable discrimination machine performs this task…

量子物理 · 物理学 2015-05-19 G. Sentís , E. Bagan , J. Calsamiglia , R. Munoz-Tapia

The problem of optimally discriminating between two completely unknown qubit states is generalized by allowing an error margin. It is visualized as a device---the programmable discriminator---with one data and two program ports, each fed…

量子物理 · 物理学 2013-11-11 G. Sentís , E. Bagan , J. Calsamiglia , R. Muñoz-Tapia

The problem of discriminating the state of a quantum system among a number of hypothetical states is usually addressed under the assumption that one has perfect knowledge of the possible states of the system. In this thesis, I analyze the…

量子物理 · 物理学 2014-07-18 Gael Sentís

We discuss the problem of designing unambiguous programmable discriminators for any n unknown quantum states in an m-dimensional Hilbert space. The discriminator is a fixed measurement that has two kinds of input registers: the program…

量子物理 · 物理学 2007-05-23 Chi Zhang , Mingsheng Ying , Bo Qiao

We discuss a state discriminator that unambiguously distinguishes between two quantum registers prepared with multiple copies of two unknown qubits. This device achieves the optimal performance by von Neumann measurement and general POVM in…

量子物理 · 物理学 2016-10-31 Bing He , Janos A. Bergou

We discuss the problem of designing unambiguous programmable discriminators for any $n$ unknown quantum states in an $m$-dimensional Hilbert space. The discriminator is a fixed measurement which has two kinds of input registers: the program…

量子物理 · 物理学 2007-05-23 Chi Zhang , Mingsheng Ying

A universal programmable discriminator can perform the discrimination between two unknown states, and the optimal solution can be approached via the discrimination between the two averages over the uniformly distributed unknown input pure…

量子物理 · 物理学 2014-01-07 Tao Zhou

In this paper a programmable quantum state discriminator is implemented by using nuclear magnetic resonance. We use a two qubit spin-1/2 system, one for the data qubit and one for the ancilla (programme) qubit. This device does the…

量子物理 · 物理学 2009-11-11 T. Gopinath , Ranabir Das , Anil Kumar

We discuss the problem of designing an unambiguous programmable discriminator for mixed quantum states. We prove that there does not exist such a universal unambiguous programmable discriminator for mixed quantum states that has two program…

量子物理 · 物理学 2007-05-23 Hongfeng Gan , Daowen Qiu

In the task of discriminating between nonorthogonal quantum states from multiple copies, the key parameters are the error probability and the resources (number of copies) used. Previous studies have considered the task of minimizing the…

Quantum state discrimination is a fundamental concept in quantum information theory, which refers to a class of techniques to identify a specific quantum state through a positive operator-valued measure. In this work, we investigate how…

量子物理 · 物理学 2025-07-09 Hyunho Cha , Jungwoo Lee

The quantum state discrimination problem is to distinguish between non-orthogonal quantum states. This problem has many applications in quantum information theory, quantum communication and quantum cryptography. In this paper a quantum…

量子物理 · 物理学 2021-02-25 Doha A. Rizk , Ahmed Younes

In the present paper I formulate a framework that accommodates many unambiguous discrimination problems. I show that the prior information about any type of constituent (state, channel, or observable) allows us to reformulate the…

量子物理 · 物理学 2010-03-15 Michal Sedlák

Two unknown states can be unambiguously distinguished by a universal programmable discriminator, which has been widely discussed in previous works and the optimal solution has also been obtained. In this paper, we investigate the…

量子物理 · 物理学 2016-10-11 Xiaobing Sunian , Yuwei Li , Tao Zhou

This paper explores the role of a priori knowledge in the optimization of quantum information processing by investigating optimum unambiguous discrimination problems for both the qubit and qutrit states. In general, a priori knowledge in…

量子物理 · 物理学 2011-06-28 Ming Zhang , Min Lin , S. G. Schirmer , Hong-Yi Dai , Zongtan Zhou , Dewen Hu

We consider the problem of determining the state of an unknown quantum sequence without error. The elements of the given sequence are drawn with equal probability from a known set of linearly independent pure quantum states with the…

量子物理 · 物理学 2024-05-27 Tathagata Gupta , Shayeef Murshid , Somshubhro Bandyopadhyay
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