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Twirling operations, which average a quantum state with respect to a unitary subgroup, have become a frequently-employed tool in quantum information processing. We investigate the efficient implementation of twirling operations with minimal…

Quantum Physics · Physics 2020-02-19 David Jakob Stonner , Jaroslav Kysela , Graeme Weir , Jaroslav Novotny , Gernot Alber , Igor Jex

Unknown unitary inversion is a fundamental primitive in quantum computing and physics. Although recent work has demonstrated that quantum algorithms can invert arbitrary unknown unitaries without accessing their classical descriptions,…

Quantum Physics · Physics 2025-06-26 Yin Mo , Tengxiang Lin , Xin Wang

Collective operations on a network of spatially-separated quantum systems can be carried out using local quantum (LQ) operations, classical communication (CC) and shared entanglement (SE). Such operations can also be used to communicate…

Quantum Physics · Physics 2009-11-06 Anthony Chefles , Claire R. Gilson , Stephen M. Barnett

We show that any two different unitary operations acting on an arbitrary multipartite quantum system can be perfectly distinguishable by local operations and classical communication when a finite number of runs is allowed. We then directly…

Quantum Physics · Physics 2011-11-09 Runyao Duan , Yuan Feng , Mingsheng Ying

If we want to transform the quantum state of a system to another using local measurement processes, what is the probability of success? This probability is bounded by quantifying entanglement in both the states. In this paper, we construct…

Quantum Physics · Physics 2026-03-18 Abhijit Gadde , Shraiyance Jain , Harshal Kulkarni

We consider interactions as bidirectional channels. We investigate the capacities for interaction Hamiltonians and nonlocal unitary gates to generate entanglement and transmit classical information. We give analytic expressions for the…

Quantum Physics · Physics 2016-11-17 C. H. Bennett , A. W. Harrow , D. W. Leung , J. A. Smolin

Multipartite quantum entanglement serves as a resource for spatially separated parties performing distributed quantum information processing. Any multipartite entangled state can be generated from appropriately distributed bipartite…

Quantum Physics · Physics 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , Barbara Kraus

We study when a physical operation can produce entanglement between two systems initially disentangled. The formalism we develop allows to show that one can perform certain non-local operations with unit probability by performing local…

Quantum Physics · Physics 2009-11-06 J. I. Cirac , W. Dür , B. Kraus , M. Lewenstein

We propose some protocols to implement various classes of bipartite unitary operations on two remote parties with the help of repeater nodes in-between. We also present a protocol to implement a single-qubit unitary with parameters…

Quantum Physics · Physics 2016-08-24 Li Yu , Kae Nemoto

We provide several applications of a previously introduced isomorphism between physical operations acting on two systems and entangled states [1]. We show: (i) how to implement (weakly) non-local two qubit unitary operations with a small…

Quantum Physics · Physics 2009-11-06 W. Dür , J. I. Cirac

We derive lower limits on the inefficiency and classical communication costs of dilution between two-term bipartite pure states that are partially entangled. We first calculate explicit relations between the allowable error and classical…

Quantum Physics · Physics 2009-11-10 Ben Fortescue , Hoi-Kwong Lo

Two-party one-way quantum communication has been extensively studied in the recent literature. We target the size of minimal information that is necessary for a feasible party to finish a given combinatorial task, such as distinction of…

Quantum Physics · Physics 2007-05-23 Harumichi Nishimura , Tomoyuki Yamakami

We address the question of efficient implementation of quantum protocols, with small communication and entanglement, and short depth circuit for encoding or decoding. We introduce two new methods to achieve this, the first method involving…

Quantum Physics · Physics 2022-08-23 Anurag Anshu , Rahul Jain

We introduce an operational interpretation for pure-state global multipartite entanglement based on quantum estimation. We show that the estimation of the strength of low-noise locally depolarizing channels, as quantified by the regularized…

Quantum Physics · Physics 2009-11-13 Sergio Boixo , Alex Monras

Quantum entanglement, perhaps the most non-classical manifestation of quantum information theory, cannot be used to transmit information between remote parties. Yet, it can be used to reduce the amount of communication required to process a…

Quantum Physics · Physics 2015-06-29 Gilles Brassard , Anne Broadbent , Alain Tapp

Phenomena induced by the existence of entanglement, such as nonlocal correlations, exhibit characteristic properties of quantum mechanics distinguishing from classical theories. When entanglement is accompanied by classical communication,…

Quantum Physics · Physics 2018-01-03 Seiseki Akibue , Masaki Owari , Go Kato , Mio Murao

We introduce a new multipartite communication scheme, with the aim to enable the senders to remotely and obliviously provide the receivers with an arbitrary amount of multipartite entanglement. The scheme is similar to Remote State…

Quantum Physics · Physics 2013-08-23 C. Spee , J. I. de Vicente , B. Kraus

The entangling power of a bipartite unitary operation shows the maximum created entanglement with the product input states. For an arbitrary two-qubit unitary operation, it is sufficient to consider its normalized operation $U$ with…

Quantum Physics · Physics 2018-09-26 Yi Shen , Lin Chen

Quantum entanglement cannot be used to achieve direct communication between remote parties, but it can reduce the communication needed for some problems. Let each of k parties hold some partial input data to some fixed k-variable function…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Wim van Dam , Peter Hoyer , Alain Tapp

Stochastic local operations and classical communication (SLOCC), also called local filtering operations, are a convenient, useful set of quantum operations in grasping essential properties of entanglement. We give a quick overview about the…

Quantum Physics · Physics 2007-05-23 Akimasa Miyake