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We propose the concept of pseudorandom states and study their constructions, properties, and applications. Under the assumption that quantum-secure one-way functions exist, we present concrete and efficient constructions of pseudorandom…

量子物理 · 物理学 2023-11-28 Zhengfeng Ji , Yi-Kai Liu , Fang Song

Physicists describe nature using mathematics as the natural language, and for quantum mechanics, it prefers to use complex numbers. However, whether complex numbers are really necessary for the theory has been debated ever since its birth.…

It is known that if one could clone an arbitrary quantum state one could send signal faster than the speed of light. However it remains interesting to see that if one can perfectly self replicate an arbitrary quantum state, does it violate…

量子物理 · 物理学 2009-11-13 Indranil Chakrabarty , Prashant , B. S. Choudhury

It has been shown that local quantum measurements and no-signaling imply quantum correlations (Barnum et al. Phys. Rev. Lett., 104, 140401 (2010)). This entails that superquantum correlations will be superluminaly signaling if we admit the…

量子物理 · 物理学 2012-06-06 S. Aravinda , R. Srikanth

We realize the probabilistic cloning and identifying linear independent quantum states of multi-particles system, given prior probability, with universal quantum logic gates using the method of unitary representation. Our result is…

量子物理 · 物理学 2007-05-23 Chuan-Wei Zhang , Chuan-Feng Li , Guang-Can Guo

In the Bayesian approach to probability theory, probability quantifies a degree of belief for a single trial, without any a priori connection to limiting frequencies. In this paper we show that, despite being prescribed by a fundamental…

量子物理 · 物理学 2009-11-07 Carlton M. Caves , Christopher A. Fuchs , Ruediger Schack

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

Nonlocal gate operation is based on sharing an ancillary pair of qubits in perfect entanglement. When the ancillary pair are partially entangled, the efficiency of the gate operation drops. Using general transformations, we devise…

量子物理 · 物理学 2007-05-23 Jingak Jang , Jinhyoung Lee , M. S. Kim , Y. -J. Park

Cloning of statistics of general quantum measurement is discussed. The presented approach is connected with the known concept of observable cloning, but differs in some essential respects. The reasons are illustrated within some variety of…

量子物理 · 物理学 2010-10-12 Alexey E. Rastegin

The quantum nonlocality is limited by relativistic causality, however, the reason is not fully understood yet. The relativistic causality condition on nonlocal correlations has been usually accepted as a prohibition of faster-than-light…

量子物理 · 物理学 2015-10-15 Yeong Deok Han , Taeseung Choi

We study the problem of universal quantum cloning -- taking several identical copies of a pure but unknown quantum state and producing further copies. While it is well known that it is impossible to perfectly reproduce the state, how well…

量子物理 · 物理学 2016-08-09 Alastair Kay

As quantum technologies advance, the ability to generate increasingly large quantum states has experienced rapid development. In this context, the verification and estimation of large entangled systems represents one of the main challenges…

量子物理 · 物理学 2022-03-30 Joshua Morris , Valeria Saggio , Aleksandra Gočanin , Borivoje Dakić

Any physical transformation that equally distributes quantum information over a large number M of users can be approximated by a classical broadcasting of measurement outcomes. The accuracy of the approximation is at least of the order 1/M.…

量子物理 · 物理学 2007-05-23 G. Chiribella , G. M. D'Ariano

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…

量子物理 · 物理学 2009-11-11 Alastair Kay , Marie Ericsson

After the appearance of the no-cloning theorem, approximate quantum cloning machines (QCMs) have become one of the most well-studied subject in quantum information theory. Among several measures to quantify the performance of a QCM,…

量子物理 · 物理学 2022-08-31 Chloe Kim , Eric Chitambar

A software product line models the variability of highly configurable systems. Complete exploration of all valid configurations (the configuration space) is infeasible as it grows exponentially with the number of features in the worst case.…

量子物理 · 物理学 2023-07-28 Joshua Ammermann , Tim Bittner , Domenik Eichhorn , Ina Schaefer , Christoph Seidl

It is shown that the probabilities for the spin singlet can be reproduced through classical resources, with no communication between the distant parties, by using merely shared (pseudo-)randomness. If the parties are conscious beings aware…

量子物理 · 物理学 2012-12-13 Antonio Di Lorenzo

We investigate the problem of "nonlocal" computation, in which separated parties must compute a function with nonlocally encoded inputs and output, such that each party individually learns nothing, yet together they compute the correct…

量子物理 · 物理学 2017-08-01 Noah Linden , Sandu Popescu , Anthony J. Short , Andreas Winter

Probabilistic metrology attempts to improve parameter estimation by occasionally reporting an excellent estimate and the rest of the time either guessing or doing nothing at all. Here we show that probabilistic metrology can never improve…

量子物理 · 物理学 2014-05-21 Joshua Combes , Christopher Ferrie , Zhang Jiang , Carlton M. Caves

According to the statistical interpretation of quantum theory, quantum computers form a distinguished class of probabilistic machines (PMs) by encoding n qubits in 2n pbits (random binary variables). This raises the possibility of a…

量子物理 · 物理学 2007-05-23 P. Gralewicz