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Distinguishability is a fundamental and operational task generally connected to information applications. In quantum information theory, from the postulates of quantum mechanics it often has an intrinsic limitation, which then dictates and…

量子物理 · 物理学 2016-01-28 Joonwoo Bae

We show that the ability to create entanglement is necessary for execution of bipartite quantum gates even when they are applied to unentangled states and create no entanglement. Starting with a simple example we demonstrate that to execute…

量子物理 · 物理学 2011-01-12 Aharon Brodutch , Daniel R. Terno

The cloning of quantum variables with continuous spectra is analyzed. A universal - or Gaussian - quantum cloning machine is exhibited that copies equally well the states of two conjugate variables such as position and momentum. It also…

量子物理 · 物理学 2009-10-31 N. J. Cerf , A. Ipe , X. Rottenberg

In this paper we investigate the effect of superposition of states on local conversion of pure bipartite states under deterministic LOCC. We are able to form a bridge between comparable and incomparable classes of states through the linear…

量子物理 · 物理学 2015-12-31 Amit Bhar , Ajoy Sen , Debasis Sarkar

We study pivotal decomposition schemes and investigate classes of pivotally decomposable operations. We provide sufficient conditions on pivotal operations that guarantee that the corresponding classes of pivotally decomposable operations…

环与代数 · 数学 2017-01-17 Miguel Couceiro , Bruno Teheux

We have found a quantum cloning machine that optimally duplicates the entanglement of a pair of $d$-dimensional quantum systems. It maximizes the entanglement of formation contained in the two copies of any maximally-entangled input state,…

量子物理 · 物理学 2007-05-23 E. Karpov , P. Navez , N. J. Cerf

The paper studies unambiguous discrimination of Fermionic states through local operations and classical communication (LOCC). In the task of unambiguous discrimination, no error is tolerated but an inconclusive result is allowed. We show…

量子物理 · 物理学 2021-01-22 Matteo Lugli , Paolo Perinotti , Alessandro Tosini

We examine the problem of using local operations and classical communication (LOCC) to distinguish a known pure state from an unknown (possibly mixed) state, bounding the error probability from above and below. We study the asymptotic rate…

量子物理 · 物理学 2010-04-13 Michael Nathanson

Nonlocality exhibited by ensembles of composite quantum states, wherein local operations and classical communication (LOCC) yield suboptimal discrimination probabilities compared to global strategies, is one of the striking nonclassical…

量子物理 · 物理学 2025-12-02 Samrat Sen

We solve the long-standing problem of making n perfect clones from m copies of one of two known pure states with minimum failure probability in the general case where the known states have arbitrary a priori probabilities. The solution…

量子物理 · 物理学 2016-05-25 Vadim Yerokhin , Andi Shehu , Edgar Feldman , Emilio Bagan , Janos A. Bergou

It is well known that (non-orthogonal) pure states cannot be cloned so one may ask: how much or what kind of additional (quantum) information is needed to supplement one copy of a quantum state in order to be able to produce two copies of…

量子物理 · 物理学 2007-05-23 Richard Jozsa

We provide a first operational method for checking indistinguishability of orthogonal states by local operations and classical communication (LOCC). This method originates from the one introduced by Ghosh et al. (Phys. Rev. Lett. 87, 5807…

量子物理 · 物理学 2009-10-20 Michal Horodecki , Aditi Sen De , Ujjwal Sen , Karol Horodecki

We construct a quantum machine which, by using asymmetric cloner, deals with disentangling and broadcasting entanglement in a single unitary evolution. The attainable maximum value of the scaling parameter $s$ for disentangling is identical…

量子物理 · 物理学 2007-05-23 Yafei Yu , Jian Feng , Xiaoqing Zhou , Mingsheng Zhan

The superposition of states is one of the most fundamental issues in the quantum world. Generally there do not exist physical operations to superpose two unknown random states with nonzero probability. We investigate the superposition…

量子物理 · 物理学 2023-05-12 Bo Li , Xiao-Bin Liang , Shao-Ming Fei

We investigate the performances of a selective cloning machine based on linear optical elements and Gaussian measurements, which allows to clone at will one of the two incoming input states. This machine is a complete generalization of a 1…

量子物理 · 物理学 2009-11-13 Stefano Olivares

The celebrated quantum no-cloning theorem establishes the impossibility of making a perfect copy of an unknown quantum state. The discovery of this important theorem for the field of quantum information is currently dated 1982. I show here…

物理学史与哲学 · 物理学 2018-02-23 Juan Ortigoso

We investigate the role of symmetric quantum cloning machines (QCMs) in quantifying the mutual incompatibility of quantum observables. Specifically, we identify a cloning-based incompatibility measure whereby the incompatibility of a set of…

量子物理 · 物理学 2021-09-20 Arindam Mitra , Prabha Mandayam

The impossibility to clone an unknown quantum state is a powerful principle to understand the nature of quantum mechanics, especially within the context of quantum computing and quantum information. This principle has been generalized to…

量子物理 · 物理学 2009-11-11 Erik Sjöqvist , Johan Åberg

We show that a set of linearly independent quantum states $\{(U_{m,n}\otimes I)\rho ^{AB}(U_{m,n}^{\dagger}\otimes I)\}_{m,n=0}^{d-1}$, where $U_{m,n}$ are generalized Pauli matrices, cannot be discriminated deterministically or…

量子物理 · 物理学 2009-11-10 Heng Fan

We consider one copy of a quantum system prepared with equal prior probability in one of two non-orthogonal entangled states of multipartite distributed among separated parties. We demonstrate that these two states can be optimally…

量子物理 · 物理学 2013-05-29 Yi-Xin Chen , Dong Yang