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We extend the idea of entanglement concentration for pure states(Phys. Rev. Lett. {\bf 88}, 187903) to the case of mixed states. The scheme works only with particle statistics and local operations, without the need of any other…

量子物理 · 物理学 2009-11-11 H. L. Huang , L. H. Cheng , X. X. Yi

The distribution of entangled states between distant parties in an optical network is crucial for the successful implementation of various quantum communication protocols such as quantum cryptography, teleportation and dense coding [1-3].…

A powerful operational paradigm for distributed quantum information processing involves manipulating pre-shared entanglement by local operations and classical communication (LOCC). The LOCC round complexity of a given task describes how…

量子物理 · 物理学 2023-09-13 Guangkuo Liu , Ian George , Eric Chitambar

We present a necessary and sufficient condition to determine the entanglement status of an arbitrary N-qubit quantum state (may be pure or mixed) represented by the density matrix, (Rho)N. We develop a new approach and a new criterion for…

综合数学 · 数学 2023-06-29 Dhananjay P. Mehendale

Entanglement appears under two different forms in quantum theory, namely as a property of states of joint systems and as a property of measurement eigenstates in joint measurements. By combining these two aspects of entanglement, it is…

Shared entanglement can significantly amplify classical correlations between systems interacting over a limited quantum channel. A natural avenue is to use entanglement of the same dimension as the channel because this allows for unitary…

We consider an unknown quantum state shared between two parties, Alice and Bob, and ask how much quantum communication is needed to transfer the full state to Bob. This problem is known as state merging and was introduced in [Horodecki et…

量子物理 · 物理学 2009-12-23 Mario Berta

We use techniques for lower bounds on communication to derive necessary conditions (in terms of detector efficiency or amount of super-luminal communication) for being able to reproduce the quantum correlations occurring in EPR-type…

量子物理 · 物理学 2007-05-23 Harry Buhrman , Peter Hoyer , Serge Massar , Hein Roehrig

The communication complexity of a quantum channel is the minimal amount of classical communication required for classically simulating a process of state preparation, transmission through the channel and subsequent measurement. It…

量子物理 · 物理学 2012-09-14 Alberto Montina

There has been a surge of progress in recent years in developing algorithms for testing and learning quantum states that achieve optimal copy complexity. Unfortunately, they require the use of entangled measurements across many copies of…

量子物理 · 物理学 2020-04-20 Sebastien Bubeck , Sitan Chen , Jerry Li

Quantum entanglement distillation protocols are LOCC protocols between Alice and Bob that convert imperfect EPR pairs, or, in general, partially entangled bipartite states into perfect or near-perfect EPR pairs. The classical communication…

量子物理 · 物理学 2007-05-23 Andris Ambainis , Ke Yang

We consider asymptotic convertibility of an arbitrary sequence of bipartite pure states into another by local operations and classical communication (LOCC). We adopt an information-spectrum approach to address cases where each element of…

量子物理 · 物理学 2018-03-14 Yong Jiao , Eyuri Wakakuwa , Tomohiro Ogawa

The use of ancillary quantum systems known as catalysts is known to be able to enhance the capabilities of entanglement transformations under local operations and classical communication. However, the limits of these advantages have not…

量子物理 · 物理学 2024-05-06 Ludovico Lami , Bartosz Regula , Alexander Streltsov

We compute entanglement cost and distillable entanglement of states supported on symmetric subspace. Not only giving general formula, we apply them to the output states of optimal cloning machines. Surprisingly, under some settings, the…

量子物理 · 物理学 2007-08-24 Keiji Matsumoto

We consider a quantum communication task between two users Alice and Bob, in which Alice and Bob exchange their respective quantum information by means of local operations and classical communication assisted by shared entanglement. Here,…

量子物理 · 物理学 2019-01-15 Yonghae Lee , Ryuji Takagi , Hayata Yamasaki , Gerardo Adesso , Soojoon Lee

The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to decide whether the Hamming distance between their $n$-bit…

计算复杂性 · 计算机科学 2009-02-17 Joshua Brody , Amit Chakrabarti

Computing the exact rate at which entanglement can be distilled from noisy quantum states is one of the longest-standing questions in quantum information. We give an exact solution for entanglement distillation under the set of dually…

量子物理 · 物理学 2024-11-25 Ludovico Lami , Bartosz Regula

We investigate the use of noisy entanglement as a resource in classical communication via a quantum channel. In particular, we are interested in the question whether for any entangled state, including bound entangled states, there exists a…

量子物理 · 物理学 2019-07-31 Stefan Bäuml , Andreas Winter , Dong Yang

Nonlocal dispersion cancellation is generalized to frequency-entangled states with large photon number N. We show that the same entangled states can simultaneously exhibit a factor of 1/sqrt(N) reduction in noise below the classical shot…

量子物理 · 物理学 2009-11-07 M. J. Fitch , J. D. Franson

A fully general strong converse for channel coding states that when the rate of sending classical information exceeds the capacity of a quantum channel, the probability of correctly decoding goes to zero exponentially in the number of…

量子物理 · 物理学 2013-05-29 Robert Koenig , Stephanie Wehner