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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…

量子物理 · 物理学 2016-09-08 Frédéric Grosshans , Philippe Grangier

Novel quantization properties related to the state vectors and the energy spectrum of a two-dimensional system of free particles are obtained in the framework of noncommutative (NC) quantum mechanics (QM) supported by the Weyl-Wigner…

量子物理 · 物理学 2015-08-04 Catarina Bastos , Alex E. Bernardini , Jonas F. G. Santos

We experimentally demonstrate continuous-variable quantum teleportation beyond the no-cloning limit. We teleport a coherent state and achieve the fidelity of 0.70$\pm$0.02 that surpasses the no-cloning limit of 2/3. Surpassing the limit is…

量子物理 · 物理学 2009-11-11 Nobuyuki Takei , Hidehiro Yonezawa , Takao Aoki , Akira Furusawa

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

The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quantum logics with a conditional probability calculus in a rather abstract, though simple and basic fashion without relying on a tensor product…

量子物理 · 物理学 2015-08-14 Gerd Niestegge

We review the main features of the Weyl-Wigner formulation of noncommutative quantum mechanics. In particular, we present a $\star$-product and a Moyal bracket suitable for this theory as well as the concept of noncommutative Wigner…

高能物理 - 理论 · 物理学 2008-11-26 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

Due to the Heisemberg uncertainty principle, it is impossible to design a procedure which permits perfect cloning of an arbitrary, unknown "qubit" (the spin or polarization state of a single quantum system)1,2. However, it is believed that…

量子物理 · 物理学 2007-05-23 Daniele Tommasini

The impossibility of superluminal communication is a fundamental principle of physics. Here we show that this principle underpins the performance of several fundamental tasks in quantum information processing and quantum metrology. In…

量子物理 · 物理学 2015-09-02 Pavel Sekatski , Michalis Skotiniotis , Wolfgang Dür

We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitrary dimension, displaying both spatial and momentum noncommutativity. By resorting to a covariant generalization of the Weyl-Wigner transform…

高能物理 - 理论 · 物理学 2008-11-26 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

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

The quantum no cloning theorem is an essential result in quantum information theory. Following this idea, we give a physically natural definition of cloning in the context of classical mechanics using symplectic geometry, building on work…

数学物理 · 物理学 2023-10-09 Yuan Yao

We investigate the connection between quantum no-cloning theorem and Bell's theorem. Designing some Bell's inequalities, we show that quantum no-cloning theorem can always be certified by Bell's theorem, and this fact in turn reflects that…

量子物理 · 物理学 2015-03-19 Jing-Ling Chen , Hong-Yi Su , Chunfeng Wu , Xiang-Jun Ye , Dong-Ling Deng , C. H. Oh

The no-cloning theorem is a cornerstone of quantum cryptography. Here we generalize and rederive in a unified framework various upper bounds on the maximum achievable fidelity of probabilistic and deterministic cloning machines. Building on…

量子物理 · 物理学 2024-02-26 Yanglin Hu , Marco Tomamichel

Quantum cloning is a fundamental protocol of quantum information theory. Perfect universal quantum cloning is prohibited by the laws of quantum mechanics, only imperfect copies being reachable. Symmetric quantum cloning is concerned with…

量子物理 · 物理学 2023-06-28 Ion Nechita , Clément Pellegrini , Denis Rochette

Ground-state quantum computers mimic quantum mechanical time evolution within the amplitudes of a time-independent quantum state. We explore the principles that constrain this mimicking. A no-cloning argument is found to impose strong…

量子物理 · 物理学 2009-11-10 Ari Mizel

We recast the quantum no-cloning theorem in a form that preserves spin statistics and apply it to entanglement.

量子物理 · 物理学 2019-04-23 Mark G. Kuzyk

We introduce a generalized concept of quantum teleportation in the framework of quantum measurement and reversing operation. Our framework makes it possible to find an optimal protocol for quantum teleportation enabling a faithful transfer…

量子物理 · 物理学 2021-08-09 Seung-Woo Lee , Dong-Gil Im , Yoon-Ho Kim , Hyunchul Nha , M. S. Kim

Two of the fundamental no-go theorems of quantum information are the no-cloning theorem (that it is impossible to make copies of general quantum states) and the no-teleportation theorem (the prohibition on telegraphing, or sending quantum…

量子物理 · 物理学 2024-10-22 Barak Nehoran , Mark Zhandry

We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well…

量子物理 · 物理学 2007-05-23 Howard Barnum , Jonathan Barrett , Matthew Leifer , Alexander Wilce

Perfect Quantum Cloning Machines (QCM) would allow to use quantum nonlocality for arbitrary fast signaling. However perfect QCM cannot exist. We derive a bound on the fidelity of QCM compatible with the no-signaling constraint. This bound…

量子物理 · 物理学 2009-10-31 Nicolas Gisin
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