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We examine the perfect cloning of non-local, orthogonal states with only local operations and classical communication. We provide a complete characterisation of the states that can be cloned under these restrictions, and their relation to…

Quantum Physics · Physics 2009-11-11 Alastair Kay , Marie Ericsson

The concepts of conditional mutual information (CMI) and normalized conditional mutual information (NCMI) are introduced to measure the concentration and separation performance of a classification deep neural network (DNN) in the output…

Machine Learning · Computer Science 2023-09-19 En-Hui Yang , Shayan Mohajer Hamidi , Linfeng Ye , Renhao Tan , Beverly Yang

The trade-offs among various output fidelities of asymmetric universal cloning machines are investigated. First we find out all the attainable optimal output fidelities for the 1 to 3 asymmetric universal cloning machine and it turns out…

Quantum Physics · Physics 2015-06-04 Mingming Jiang , Sixia Yu

Optimal procedures play an important role in quantum information. It turns out that some naturally occurring processes like emission of light from an atom can realize optimal transformations. Here we study how arbitrary symmetric states of…

Quantum Physics · Physics 2009-11-07 Heng Fan , Gregor Weihs , Keiji Matsumoto , Hiroshi Imai

Multiple-copy state discrimination is a fundamental task in quantum information processing. If there are two, pure, non-orthogonal states then both local and collective schemes are known to reach the Helstrom bound, the maximum probability…

Quantum Physics · Physics 2019-10-02 Kieran Flatt , Stephen M. Barnett , Sarah Croke

Quantum contextuality is a key nonclassical feature underlying advantages in quantum computation and communication. We introduce a new method to study contextuality in quantum information-processing tasks and protocols, relying solely on…

Quantum Physics · Physics 2026-03-03 Mina Doosti , Theodoros Yianni , Farid Shahandeh

It is known that to imperfectly clone a phase-set of states uncorrelatedly is impossible due to the linearity and the hermitian-preservation of quantum operations deterministically shown by D'Ariano et al. In this paper we address…

Quantum Physics · Physics 2015-03-24 Yuji Sekino

To better understand quantum computation we can search for its limits or no-gos, especially if analogous limits do not appear in classical computation. Classical computation easily implements and extensively employs the addition of two bit…

Quantum Physics · Physics 2025-11-26 Zuzana Gavorová

Superposition, arguably the most fundamental property of quantum mechanics, lies at the heart of quantum information science. However, how to create the superposition of any two unknown pure states remains as a daunting challenge. Recently,…

Quantum Physics · Physics 2017-03-10 Keren Li , Guofei Long , Hemant Katiyar , Tao Xin , Guanru Feng , Dawei Lu , Raymond Laflamme

Copying the quantum states is contradictory to classical information processing since the fundamental difference between classical and quantum information is that while classical information can be copied perfectly, quantum information…

Quantum Physics · Physics 2022-01-10 Artyom M. Grigoryan , Sos S. Agaian

We report the successful generation of an entangled multiparticle quantum superposition of pure photon states. They result from a multiple (universal} cloning of a single photon qubit by a high gain, quantum-injected parametric amplifier.…

Quantum Physics · Physics 2007-05-23 Francesco De Martini , Fabio Sciarrino

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

We propose a physically realizable machine which can either generate multiparticle W-like states, or implement high fidelity $1 \to M$ ($M=1,2,... \infty$) anti-cloning of an arbitrary qubit state, in a single step. Moreover this universal…

Quantum Physics · Physics 2009-11-10 Alexandra Olaya-Castro , Neil F. Johnson , Luis Quiroga

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 sequential unambiguous state discrimination (SSD) of two states prepared in arbitrary prior probabilities is studied, and compared with three strategies that allow classical communication. The deviation from equal probabilities…

Quantum Physics · Physics 2018-09-03 Jin-Hua Zhang , Fu-Lin Zhang , Mai-Lin Liang

Quantum computer possesses quantum parallelism and offers great computing power over classical computer \cite{er1,er2}. As is well-know, a moving quantum object passing through a double-slit exhibits particle wave duality. A quantum…

Quantum Physics · Physics 2015-05-13 Gui Lu Long , Yang Liu

We give a proof of impossibility of probabilistic exact $1\to 2$ cloning of any three different states of a qubit. The simplicity of the proof is due to the use of a surprising result of remote state preparation [M.-Yong Ye, Y.-Sheng Zhang…

Quantum Physics · Physics 2007-05-23 Sibasish Ghosh , Guruprasad Kar , Samir Kunkri , Anirban Roy

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

This paper presents two unconventional links between quantum and classical physics. The first link appears in the study of quantum cryptography. In the presence of a spy, the quantum correlations shared by Alice and Bob are imperfect. One…

Quantum Physics · Physics 2007-05-23 Valerio Scarani

In quantum communication via noisy channels, the error probability scales exponentially with the length of the channel. We present a scheme of a quantum repeater that overcomes this limitation. The central idea is to connect a string of…

Quantum Physics · Physics 2007-05-23 H. -J. Briegel , W. Dür , J. I. Cirac , P. Zoller