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We consider one of the quantum key distribution protocols recently introduced in Ref. [Pirandola et al., Nature Physics 4, 726 (2008)]. This protocol consists in a two-way quantum communication between Alice and Bob, where Alice encodes…

Quantum Physics · Physics 2009-02-20 Stefano Pirandola , Stefano Mancini , Seth Lloyd , Samuel L. Braunstein

We show that a quantum state can be perfectly cloned up to global mirroring with a unitary transformation that depends on one single parameter. We then show that this is equivalent to "perfect" cloning for quantum associative memories…

Quantum Physics · Physics 2022-06-06 M. C. Diamantini , C. A. Trugenberger

The notions of qubits and coherent states correspond to different physical systems and are described by specific formalisms. Qubits are associated with a two-dimensional Hilbert space and can be illustrated on the Bloch sphere. In contrast,…

Quantum Physics · Physics 2017-10-18 Christian R. Müller , Gerd Leuchs , Christoph Marquardt , Ulrik L. Andersen

Due to the no-cloning theorem, the unknown quantum state can only be cloned approximately or exactly with some probability. There are two types of cloners: universal and state-dependent cloner. The optimal universal cloner has been found…

Quantum Physics · Physics 2009-11-07 Y. -J. Han , Y. -S. Zhang , G. -C. Guo

We investigate quantum teleportation of ensembles of coherent states of light with a Gaussian distributed displacement in phase space. Recently, the following general question has been addressed in [P. Liuzzo-Scorpo et al.,…

Quantum Physics · Physics 2017-11-29 Pietro Liuzzo-Scorpo , Gerardo Adesso

We review our recent work on the universal (i.e. input state independent) optimal quantum copying (cloning) of qubits. We present unitary transformations which describe the optimal cloning of a qubit and we present the corresponding quantum…

Quantum Physics · Physics 2007-05-23 Vladimir Buzek , Mark Hillery

In the literature on $K$-locality ($K\geq2$) networks, the local hidden variables are strictly distributed in the specific observers rather than the whole ones. Regarding genuine Bell locality, all local hidden variables, as classical…

Quantum Physics · Physics 2023-06-28 Li-Yi Hsu

Continuous variable one-way and controlled-two-way secure direct quantum communication schemes have been designed using Gaussian states. Specifically, a scheme for continuous variable quantum secure direct communication and another scheme…

Quantum Physics · Physics 2022-06-10 Srikara S , Kishore Thapliyal , Anirban Pathak

The relative error of cloning of quantum states with arbitrary prior probabilities is considered. It is assumed that the ancilla may contain some a priori information about the input state to be cloned. The lower bound on the relative error…

Quantum Physics · Physics 2010-06-18 Alexey E. Rastegin

The influence of the relativistic covariance requirement on the optimality of the symmetric state-dependent 1 -> 2 cloning machine is studied. Namely, given a photonic qubit whose basis is formed from the momentum-helicity eigenstates, the…

Quantum Physics · Physics 2009-11-13 K. Bradler , R. Jauregui

We establish a connection between optimal quantum cloning and optimal state estimation for d-dimensional quantum systems. In this way we derive an upper limit on the fidelity of state estimation for d-dimensional pure quantum states and,…

Quantum Physics · Physics 2009-10-31 D. Bruss , C. Macchiavello

We apply semidefinite programming for designing 1 to 2 symmetric qubit quantum cloners. These are optimized for the average fidelity of their joint output state with respect to a product of multiple originals. We design 1 to 2 quantum bit…

Quantum Physics · Physics 2013-07-19 Mátyás Koniorczyk , Lívia Dani , Vladimír Bužek

In this letter we introduce the problem of secrecy reversibility. This asks when two honest parties can distill secret bits from some tripartite distribution $p_{XYZ}$ and transform secret bits back into $p_{XYZ}$ at equal rates using local…

Quantum Physics · Physics 2015-09-02 Eric Chitambar , Ben Fortescue , Min-Hsiu Hsieh

The method of quantum cloning is divided into two main categories: approximate and probabilistic quantum cloning. The former method is used to approximate an unknown quantum state deterministically, and the latter can be used to faithfully…

Quantum Physics · Physics 2015-05-27 Hongwei Chen , Dawei Lu , Bo Chong , Gan Qin , Xianyi Zhou , Xinhua Peng , Jiangfeng Du

We consider the problem of reversing quantum dynamics, with the goal of preserving an initial state's quantum entanglement or classical correlation with a reference system. We exhibit an approximate reversal operation, adapted to the…

Quantum Physics · Physics 2026-01-21 H. Barnum , E. Knill

Quantum no-cloning, the impossibility of perfectly cloning an arbitrary unknown quantum state, is one of the most fundamental limitations due to the laws of quantum mechanics, which underpin the physical security of quantum key…

Quantum coherence (QCh) is considered to be a key ingredient in quantum resource theories and also plays a pivotal role in the design and implementation of various information processing tasks. Consequently, it becomes important for us to…

Quantum Physics · Physics 2017-11-22 Indranil Chakrabarty , Udit Kamal Sharma , Manish Kumar Shukla

We discuss the criteria presently used for evaluating the efficiency of quantum teleportation schemes for continuous variables. Using an argument based upon the difference between 1-to-2 quantum cloning (quantum duplication) and…

Quantum Physics · Physics 2016-09-08 Frédéric Grosshans , Philippe Grangier

We present a feasible scheme to implement the $1 \to 2$ optimal cloning of arbitrary single particle atomic state into two photonic states, which is important for applications in long distance quantum communication. Our scheme also realizes…

Quantum Physics · Physics 2008-10-24 Wei Song , Tao Qin

A continuous variable measurement device independent multi-party quantum communication protocol is investigated in this paper. Utilizing distributed continuous variable Greenberger-Horne-Zeilinger state, this protocol can implement both…

Quantum Physics · Physics 2016-03-02 Yadong Wu , Jian Zhou , Xinbao Gong , Ying Guo , Zhi-Ming Zhang , Guangqiang He
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