# Generalized Probabilistic Description of Noninteracting Identical Particles.

@article{Karczewski2018GeneralizedPD, title={Generalized Probabilistic Description of Noninteracting Identical Particles.}, author={Marcin Karczewski and Marcin Markiewicz and Dagomir Kaszlikowski and Paweł Kurzyński}, journal={Physical review letters}, year={2018}, volume={120 8}, pages={ 080401 } }

We investigate an operational description of identical noninteracting particles in multiports. In particular, we look for physically motivated restrictions that explain their bunching probabilities. We focus on a symmetric 3-port in which a triple of superquantum particles admitted by our generalized probabilistic framework would bunch with a probability of 3/4. The bosonic bound of 2/3 can then be restored by imposing the additional requirement of product evolution of certain input states…

## 4 Citations

Impossible Process of Noninteracting Identical Particles

- Mathematics, Physics
- 2018

In the framework of Generalized probabilistic theories (GPT), we illustrate a class of statistical processes in case of two noninteracting identical particles in two modes that satisfies a well…

Ruling out the class of statistical processes involving two noninteracting identical particles in two modes

- PhysicsPhysical Review A
- 2019

In the framework of Generalized probabilistic theories (GPT), we illustrate a class of statistical processes in case of two noninteracting identical particles in two modes that satisfies a well…

Two-particle indistinguishability and identification of boson and fermion species: a Fisher information approach

- Mathematics, PhysicsQuantum Inf. Process.
- 2019

This study shows that FI can reproduce the Hong-Ou-Mandel (HOM) effect with two bosons or two fermions, and provides a simple method for estimating the degree of two-particle indistinguishability in a Mach-Zehnder interferometer-type setup.

Genuine multipartite indistinguishability and its detection via the generalized Hong-Ou-Mandel effect

- PhysicsPhysical Review A
- 2019

The question whether two indistinguishable particles are bosons or fermions can be answered by observing the Hong-Ou-Mandel effect on a beam splitter. However, already for three particles one can…

## References

SHOWING 1-10 OF 41 REFERENCES

Contextuality in bosonic bunching.

- Physics, MedicinePhysical review letters
- 2014

It is shown that one can find three pairwise exclusive events for a system of three bosonic particles whose corresponding probabilities sum to 3/2.

Indistinguishable particles in quantum mechanics: an introduction

- Physics
- 2005

In this article, we discuss the identity and indistinguishability of quantum systems and the consequent need to introduce an extra postulate in Quantum Mechanics to correctly describe situations…

Interference of identical particles from entanglement to boson-sampling

- Physics
- 2013

Progress in the reliable preparation, coherent propagation and efficient detection of many-body states has recently brought collective quantum phenomena of many identical particles into the…

Many-particle interference beyond many-boson and many-fermion statistics

- Physics
- 2012

Identical particles exhibit correlations even in the absence of inter-particle interaction, due to the exchange (anti)symmetry of the many- particle wavefunction. Two fermions obey the Pauli…

General rules for bosonic bunching in multimode interferometers.

- Physics, MedicinePhysical review letters
- 2013

The authors' experiments verify two rules that govern bosonic bunching and establish a n!-factor quantum enhancement for the probability that all n bosons bunch in a single output mode, with respect to the case of distinguishable bosons.

A glance beyond the quantum model

- PhysicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2009

One of the most important problems in physics is to reconcile quantum mechanics with general relativity, and some authors have suggested that this may be realized at the expense of having to drop the…

Limit on nonlocality in any world in which communication complexity is not trivial.

- Physics, MedicinePhysical review letters
- 2006

A partial answer to the question why are the correlations achievable by quantum mechanics not maximal among those that preserve causality is given by showing that slightly stronger correlations would result in a world in which communication complexity becomes trivial.

A derivation of quantum theory from physical requirements

- Physics
- 2011

Quantum theory (QT) is usually formulated in terms of abstract mathematical postulates involving Hilbert spaces, state vectors and unitary operators. In this paper, we show that the full formalism of…

Local orthogonality as a multipartite principle for quantum correlations.

- Mathematics, PhysicsNature communications
- 2013

Local orthogonality, an intrinsically multipartite principle stating that events involving different outcomes of the same local measurement must be exclusive or orthogonal, is introduced and it is proved that it is equivalent to no-signalling in the bipartite scenario but more restrictive for more than two parties.

Deriving quantum theory from its local structure and reversibility.

- Physics, MedicinePhysical review letters
- 2012

In the particular case in which the local systems are identical qubits, it is shown that any theory admitting at least one continuous reversible interaction must be identical to quantum theory.