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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

Using local operations and classical communication (LOCC), entanglement can be manipulated but not created. However, entanglement can be embezzled. In this work, we completely characterize universal embezzling families and demonstrate how…

Quantum Physics · Physics 2024-06-19 Elia Zanoni , Thomas Theurer , Gilad Gour

We extend the idea of a discrete-time quantum walk on a graph by placing a qubit on each vertex, and allowing the walker to interact with the qubit at its current position. We show that allowing for a controlled-Z interaction at each time…

Quantum Physics · Physics 2016-08-26 Joshua Lockhart , Mauro Paternostro

The role of entanglement and quantum correlations in complex physical systems and quantum information processing devices has become a topic of intense study in the past two decades. In this work we present new tools for learning about…

Quantum Physics · Physics 2017-03-01 Michel Boyer , Aharon Brodutch , Tal Mor

This paper uses a system theoretic approach to show that classical linear time invariant controllers cannot generate steady state entanglement in a bipartite Gaussian quantum system which is initialized in a Gaussian state. The paper also…

Systems and Control · Computer Science 2012-01-04 H. I. Nurdin , I. R. Petersen , M. R. James

We study the power of closed timelike curves (CTCs) and other nonlinear extensions of quantum mechanics for distinguishing nonorthogonal states and speeding up hard computations. If a CTC-assisted computer is presented with a labeled…

Quantum Physics · Physics 2009-10-29 Charles H. Bennett , Debbie Leung , Graeme Smith , John A. Smolin

We show that quantum entanglement has a very close classical analogue, namely secret classical correlations. The fundamental analogy stems from the behavior of quantum entanglement under local operations and classical communication and the…

Quantum Physics · Physics 2023-03-27 Daniel Collins , Sandu Popescu

It is one of the most remarkable features of quantum physics that measurements on spatially separated systems cannot always be described by a locally causal theory. In such a theory, the outcomes of local measurements are determined in…

Quantum Physics · Physics 2016-09-08 Yeong-Cherng Liang

Modifying the discrete mechanics proposed by T.D. Lee, we construct a class of discrete classical Hamiltonian systems, in which time is one of the dynamical variables. This includes a toy model of time machines which can travel forward and…

Quantum Physics · Physics 2013-10-11 Hans-Thomas Elze

Proposed models of closed timelike curves (CTCs) have been shown to enable powerful information-processing protocols. We examine the simulation of models of CTCs both by other models of CTCs and by physical systems without access to CTCs.…

Quantum Physics · Physics 2017-02-28 Todd A. Brun , Mark M. Wilde

The temporal Bell inequalities are derived from the assumptions of realism and locality in time. It is shown that quantum mechanics violates these inequalities and thus is in conflict with the two assumptions. This can be used for…

Quantum Physics · Physics 2007-05-23 Caslav Brukner , Samuel Taylor , Sancho Cheung , Vlatko Vedral

This paper discusses the quantum mechanics of closed timelike curves (CTC) and of other potential methods for time travel. We analyze a specific proposal for such quantum time travel, the quantum description of CTCs based on post-selected…

Quantum Physics · Physics 2011-07-15 Seth Lloyd , Lorenzo Maccone , Raul Garcia-Patron , Vittorio Giovannetti , Yutaka Shikano

The D-CTC condition, introduced by David Deutsch as a condition to be fulfilled by analogues for processes of quantum systems in the presence of closed timelike curves, is investigated for classical statistical (non-quantum) bi-partite…

Quantum Physics · Physics 2021-10-05 Jürgen Tolksdorf , Rainer Verch

The study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. The main emphasis of these investigations is on the deterministic, or probabilistic…

Quantum Physics · Physics 2018-08-09 David Sauerwein , Katharina Schwaiger , Barbara Kraus

One cannot always obtain information about entanglement by the D\"ur-Cirac (DC) method. The impracticality is attributed to the decrease of entanglement by local operations in the DC method. We show that, even in 2--qubit systems, there…

Quantum Physics · Physics 2007-05-23 Yukihiro Ota , Motoyuki Yoshida , Ichiro Ohba

In this paper, we study the number of rounds of communication needed to implement certain tasks by local quantum operations and classical communication (LOCC). We find that the class of LOCC operations becomes strictly more powerful as more…

Quantum Physics · Physics 2011-11-07 Eric Chitambar

In this paper, we investigate the possibility of using closed timelike curves (CTCs) in relativistic hypercomputation. We introduce a wormhole based hypercomputation scenario which is free from the common worries, such as the blueshift…

General Relativity and Quantum Cosmology · Physics 2012-11-27 Hajnal Andréka , István Németi , Gergely Székely

We study the problem of distinguishing quantum states using local operations and classical communication (LOCC). A question of fundamental interest is whether there exist sets of $k \leq d$ orthogonal maximally entangled states in…

Quantum Physics · Physics 2014-08-22 Alessandro Cosentino , Vincent Russo

Entanglement is a central and subtle feature of quantum theory, whose structure and operational behavior can change dramatically when additional physical constraints, such as symmetries or superselection rules, are imposed. Such constraints…

Quantum Physics · Physics 2026-02-19 Roberto D. Baldijão , Marco Erba , David Schmid , John H. Selby , Ana Belén Sainz

The existence of entangled quantum states gives extra power to quantum computers over their classical counterparts. Quantum entanglement shows up qualitatively at the level of two qubits. We show that if no entanglement is envolved then…

Quantum Physics · Physics 2009-11-06 Arvind