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We study the average quantum coherence over the pure state decompositions of a mixed quantum state. An upper bound of the average quantum coherence is provided and sufficient conditions for the saturation of the upper bound are shown. These…

量子物理 · 物理学 2021-05-07 Ming-Jing Zhao , Teng Ma , Rajesh Pereira

A method to establish a qubit decomposition of a general qudit state is presented. This new representation allows a geometrical depiction of any qudit state in the Bloch sphere. Additionally, we show that the nonnegativity conditions of the…

This work introduces a rigorous notion of localization probability of a quantum state within a given subspace of its Hilbert space. A non-negative operator A is uniquely decomposed as A=B+C, where B is the maximal positive operator…

量子物理 · 物理学 2026-05-19 L. L. Salcedo

We show that the quantum states generated by universal optimal quantum cloning of a single photon represent an universal set of quantum superpositions resilient to decoherence. We adopt Bures distance as a tool to investigate the…

量子物理 · 物理学 2015-05-18 N. Spagnolo , F. Sciarrino , F. De Martini

We represent a two-qubit density matrix in the basis of Pauli matrix tensor products, with the coefficients constituting a Bloch matrix, analogous to the single qubit Bloch vector. We find the quantum state positivity requirements on the…

量子物理 · 物理学 2016-11-27 Omar Gamel

A generalized Bloch sphere, in which the states of a quantum entity of arbitrary dimension are geometrically represented, is investigated and further extended, to also incorporate the measurements. This extended representation constitutes a…

量子物理 · 物理学 2015-12-16 Diederik Aerts , Massimiliano Sassoli de Bianchi

It is known that probabilistically mixing an arbitrary pair of pure quantum states, one of which is entangled and the other product, in any bipartite quantum system, one always obtains an entangled state, provided the entangled state of the…

量子物理 · 物理学 2023-04-25 Saronath Halder , Ujjwal Sen

The extended Bloch representation of quantum mechanics was recently derived to offer a (hidden-measurement) solution to the measurement problem. In this article we use it to investigate the geometry of superposition and entangled states,…

量子物理 · 物理学 2017-01-02 Diederik Aerts , Massimiliano Sassoli de Bianchi

It is known that in phase covariant quantum cloning the equatorial states on the Bloch sphere can be cloned with a fidelity higher than the optimal bound established for universal quantum cloning. We generalize this concept to include other…

量子物理 · 物理学 2009-11-07 V. Karimipour , A. T. Rezakhani

We present here a scheme that relates seemingly two different kinds of physical impossibilities of quantum information processing. We derive, exact flipping of three arbitrary states not lying in one great circle is not possible with…

量子物理 · 物理学 2009-11-11 Indrani Chattopadhyay , Debasis Sarkar

We investigate multipartite entanglement for composite quantum systems in a pure state. Using the generalized Bloch representation for n-qubit states, we express the condition that all k-qubit reductions of the whole system are maximally…

量子物理 · 物理学 2013-02-01 Ludovic Arnaud , Nicolas J. Cerf

We study mechanisms that allow one to synchronize the quantum phase of two qubits relative to a fixed basis. Starting from one qubit in a fixed reference state and the other in an unknown state, we find that contrary to the impossibility of…

量子物理 · 物理学 2016-11-04 Lukas J. Fiderer , Marek Kuś , Daniel Braun

Quantum teleportation is the transfer of quantum information between two locations by the use of shared entanglement. Current teleportation schemes broadly fall under one of two categories, of either qubit or continuous variables…

量子物理 · 物理学 2015-06-23 Alexey N. Pyrkov , Tim Byrnes

We study the quantum state transfer (QST) in a class of qubit network with on-site interaction, which is described by the generalized Hubbard model with engineered couplings. It is proved that the system of two electrons with opposite spins…

量子物理 · 物理学 2011-11-09 S. Yang , Z. Song , C. P. Sun

The superposition principle of two qubit states is formulated as nonlinear addition rule of mean spinprojection onto three perpendicular directions. The explicit expression for the mean value determining the superposition state in term of…

量子物理 · 物理学 2019-12-19 Andrey Fedorov , Vladimir Manko

"Broadcasting", namely distributing information over many users, suffers in-principle limitations when the information is quantum. This poses a critical issue in quantum information theory, for distributed processing and networked…

The no-cloning principle tells us that non-orthogonal quantum states cannot be cloned, but it does not tell us that orthogonal states can always be cloned. We suggest a situation where the cloning transformations are restricted, leading to…

量子物理 · 物理学 2009-01-23 Tal Mor

We study a coherent superposition of field annihilation and creation operator acting on continuous variable systems and propose its application for quantum state engineering. Specifically, it is investigated how the superposed operation…

量子物理 · 物理学 2015-05-19 Su-Yong Lee , Hyunchul Nha

The possible existence of closed timelike curves (CTCs) draws attention to fundamental questions about what is physically possible and what is not. An example is the "no cloning theorem" in quantum mechanics, which states that no physical…

量子物理 · 物理学 2015-06-05 D. Ahn , C. R. Myers , T. C. Ralph , R. B. Mann

It is a well known fact that an quantum state $|\psi(\theta,\phi)>$ is represented by a point on the Bloch sphere, characterized by two parameters $\theta$ and $\phi$. In a recent work we already proved that it is impossible to partially…

量子物理 · 物理学 2009-05-06 Indranil Chakrabarty