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It is shown that if a mixed state can be distilled to the singlet form, it must violate partial transposition criterion [A. Peres, Phys. Rev. Lett. 76, 1413 (1996)]. It implies that there are two qualitatively different types of…

量子物理 · 物理学 2009-10-31 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

Entanglement purification is essential for quantum technologies; yet, rigorous bounds on the success probability for universal protocols -- those requiring no prior knowledge about the input state -- have remained underexplored. We…

量子物理 · 物理学 2025-09-12 Alexandre C. Orthey , Aby Philip , Tulja Varun Kondra , Alexander Streltsov

Establishing long-distance quantum entanglement, i.e., entanglement transmission, in quantum networks (QN) is a key and timely challenge for developing efficient quantum communication. Traditional comprehension based on classical…

量子物理 · 物理学 2021-04-28 Xiangyi Meng , Jianxi Gao , Shlomo Havlin

For certain joint measurements on a pair of spatially separated particles, we ask how much entanglement is needed to carry out the measurement exactly. For a class of orthogonal measurements on two qubits with partially entangled…

量子物理 · 物理学 2013-05-29 Somshubhro Bandyopadhyay , Gilles Brassard , Shelby Kimmel , William K. Wootters

We initiate the study of quantifying nonlocalness of a bipartite measurement by the minimum amount of classical communication required to simulate the measurement. We derive general upper bounds, which are expressed in terms of certain…

量子物理 · 物理学 2011-11-04 Yaoyun Shi , Yufan Zhu

We find a strong-converse bound on the private capacity of a quantum channel assisted by unlimited two-way classical communication. The bound is based on the max-relative entropy of entanglement and its proof uses a new inequality for the…

量子物理 · 物理学 2017-07-04 Matthias Christandl , Alexander Müller-Hermes

Many applications of the emerging quantum technologies, such as quantum teleportation and quantum key distribution, require singlets, maximally entangled states of two quantum bits. It is thus of utmost importance to develop optimal…

量子物理 · 物理学 2024-03-27 Chandan Datta , Tulja Varun Kondra , Marek Miller , Alexander Streltsov

Motivated by recent discussions of entanglement in the context of high energy scattering, we consider the relation between the entanglement entropy of a highly excited state of a quantum system and the classical entanglement entropy of the…

量子物理 · 物理学 2023-01-18 Haowu Duan , Alex Kovner , Vladimir V. Skokov

We show that the quantum Fisher information provides a sufficient condition to recognize multi-particle entanglement in a $N$ qubit state. The same criterion gives a necessary and sufficient condition for sub shot-noise phase sensitivity in…

量子物理 · 物理学 2015-05-13 L. Pezze' , A. Smerzi

We consider entanglement-assisted communication over the qubit depolarizing channel under the security requirement of covert communication, where not only the information is kept secret, but the transmission itself must be concealed from…

量子物理 · 物理学 2025-02-28 Elyakim Zlotnick , Boulat Bash , Uzi Pereg

A bottleneck for analyzing the interplay between magic and entanglement is the computation of these quantities in highly entangled quantum many-body magic states. Efficient extraction of entanglement can also inform our understanding of…

量子物理 · 物理学 2025-10-09 ChunJun Cao , Gong Cheng , Tianci Zhou

In some scenarios there are ways of conveying information with many fewer, even exponentially fewer, qubits than possible classically. Moreover, some of these methods have a very simple structure--they involve only few message exchanges…

量子物理 · 物理学 2018-03-22 Hartmut Klauck , Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

We show that quantum entanglement can be used as a substitute for communication when the goal is to compute a function whose input data is distributed among remote parties. Specifically, we show that, for a particular function among three…

量子物理 · 物理学 2009-10-30 Richard Cleve , Harry Buhrman

Any deterministic bipartite entanglement transformation involving finite copies of pure states and carried out using local operations and classical communication (LOCC) results in a net loss of entanglement. We show that for almost all such…

量子物理 · 物理学 2009-11-07 Somshubhro Bandyopadhyay , Vwani Roychowdhury , Farrokh Vatan

The most trivial way to simulate classically the communication of a quantum state is to transmit the classical description of the quantum state itself. However, this requires an infinite amount of classical communication if the simulation…

量子物理 · 物理学 2014-01-07 Alberto Montina

We derive an optimal bound for arbitrary entanglement manipulation based on the transmission of a pulse in coherent states over a lossy channel followed by local operations and unlimited classical communication (LOCC). This stands on a…

量子物理 · 物理学 2015-05-30 Koji Azuma , Go Kato

Multiphoton states are needed for quantum communication and computation. Multiphoton states are significantly more difficult to generate than one- and two-photon states because two individual down-conversion processes must be cascaded. Only…

量子物理 · 物理学 2026-01-09 Nathan A. Harper , Ayantika Sengupta , Emily Y. Hwang , Scott K. Cushing

We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of particles in an entangled quantum state. We prove linear lower bounds for…

量子物理 · 物理学 2008-02-03 Richard Cleve , Wim van Dam , Michael Nielsen , Alain Tapp

Consensus is one of the most thoroughly studied problems in distributed computing, yet there are still complexity gaps that have not been bridged for decades. In particular, in the classical message-passing setting with processes' crashes,…

分布式、并行与集群计算 · 计算机科学 2022-03-25 MohammadTaghi HajiAghayi , Dariusz R. Kowalski , Jan Olkowski

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 with classical local hidden-variable theories the…

量子物理 · 物理学 2016-12-30 H. Buhrman , P. Hoyer , S. Massar , H. Roehrig