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We study the quantum entanglement and separability of Hermitian and pseudo-Hermitian systems of identical bosonic or fermionic particles with point interactions. The separability conditions are investigated in detail.

Quantum Physics · Physics 2009-11-13 Shao-Ming Fei

Photon distinguishability is a key factor limiting quantum interference in photonic devices, directly impacting the performance of protocols such as Boson Sampling and photonic quantum computing. We present a basis-independent framework for…

Quantum Physics · Physics 2025-09-09 Emilio Annoni , Stephen C. Wein

We study the problem of witnessing entanglement among indistinguishable particles. For this purpose, we derive a set of equations which results in necessary and sufficient conditions for probing multipartite entanglement between arbitrary…

Quantum Physics · Physics 2015-04-22 A. Reusch , J. Sperling , W. Vogel

Quantum statistics have a profound impact on the properties of systems composed of identical particles. In this Letter, we demonstrate that the quantum statistics of a pair of identical massive particles can be probed by a direct…

Quantum Physics · Physics 2017-10-23 C. F. Roos , A. Alberti , D. Meschede , P. Hauke , H. Häffner

Composite particles made of two fermions can be treated as ideal elementary bosons as long as the constituent fermions are sufficiently entangled. In that case, the Pauli principle acting on the parts does not jeopardise the bosonic…

Quantum Physics · Physics 2014-11-26 Malte C. Tichy , P. Alexander Bouvrie , Klaus Mølmer

We show that many-body interference (MBI) phenomena are exponentially suppressed in the particle number, if only the identical quantum objects brought to interference acquire a finite level of distinguishability through statistical mixing…

Quantum Physics · Physics 2024-09-06 Christoph Dittel , Andreas Buchleitner

While entanglement is believed to be an important ingredient in understanding quantum many-body physics, the complexity of its characterization scales very unfavorably with the size of the system. Finding super-sets of the set of separable…

Quantum Physics · Physics 2015-11-25 Cécilia Lancien , Otfried Gühne , Ritabrata Sengupta , Marcus Huber

Unlike for bipartite states consisting of distinguishable particles, in the case of identical parties the notion of entanglement is still under debate. In the following, we review two different approaches to the entanglement of systems…

Quantum Physics · Physics 2014-03-14 F. Benatti , R. Floreanini , K. Titimbo

We investigate the separability of arbitrary $n$-dimensional multipartite identical bosonic systems. An explicit relation between the dimension and the separability is presented. In particular, for $n=3$, it is shown that the property of…

Quantum Physics · Physics 2007-05-23 Xiao-Hong Wang , Shao-Ming Fei , Ke Wu

In this paper, we study the separability of quantum states in bosonic system. Our main tool here is the "separability witnesses", and a connection between "separability witnesses" and a new kind of positivity of matrices--- "Power Positive…

Quantum Physics · Physics 2016-12-20 Nengkun Yu

We introduce collective geometric phases of bosons and fermions interfering on a linear unitary multiport, where each phase depends on the internal states of identical particles (i.e., not affected by the multiport) and corresponds to a…

Quantum Physics · Physics 2018-09-12 V. S. Shchesnovich , M. E. O. Bezerra

It is shown that quantum systems of identical particles can be treated as if they were different when they are in well differentiated states. This simplifying assumption allows the consideration of quantum systems isolated from the rest of…

Quantum Physics · Physics 2009-03-12 Alberto C. de la Torre , Hector O. Martin

Quantum coherence plays a fundamental and operational role in different areas of physics. A resource theory has been developed to characterize the coherence of distinguishable particles systems. Here we show that indistinguishability of…

We present and rigorously analyze the behavior of a distributed, stochastic algorithm for separation and integration in self-organizing particle systems, an abstraction of programmable matter. Such systems are composed of individual…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sarah Cannon , Joshua J. Daymude , Cem Gokmen , Dana Randall , Andréa W. Richa

All particles of the same type are indistinguishable, according to a fundamental quantum principle. This entails a description of many-particle states using symmetrised or anti-symmetrised wave functions, which turn out to be formally…

Quantum Physics · Physics 2024-04-29 Pawel Blasiak , Marcin Markiewicz

We study separability criteria in multipartite quantum systems of arbitrary dimensions by using the Bloch representation of density matrices. We first derive the norms of the correlation tensors and obtain the necessary conditions for…

Quantum Physics · Physics 2020-09-08 Hui Zhao , Mei-Ming Zhang , Naihuan Jing , Zhi-Xi Wang

The permutation symmetry is a fundamental attribute of the collective wavefunction of indistinguishable particles. It makes a difference for the behavior of collective systems having different quantum statistics but existing in the same…

Reasonable requirements of (a) physical invariance under particle permutation and (b) physical completeness of state descriptions, enable us to deduce a Symmetric Permutation Rule(SPR): that by taking care with our state descriptions, it is…

Quantum Physics · Physics 2011-09-07 Michael J. York

Distinguishability theory is developed for quantum interference of the squeezed vacuum states on unitary linear interferometers. It is found that the entanglement of photon pairs over the Schmidt modes is one of the sources of…

Quantum Physics · Physics 2022-06-03 Valery Shchesnovich

The partition function for a system of non-interacting $N-$particles can be found by summing over all the states of the system. The classical partition function for an ideal gas differs from Bosonic or Fermionic partition function in the…

Physics Education · Physics 2021-04-06 Sushil K. Singh , Savinder Kaur