In contrast to classical physics, quantum mechanics divides particles into
two classes-bosons and fermions-whose exchange statistics dictate the dynamics
of systems at a fundamental level. In two dimensions quasi-particles known as
'anyons' exhibit fractional exchange statistics intermediate between these two
classes. The ability to simulate and observe behaviour associated to
fundamentally different quantum particles is important for simulating complex
quantum systems. Here we use the symmetry and quantum correlations of entangled
photons subjected to multiple copies of a quantum process to directly simulate
quantum interference of fermions, bosons and a continuum of fractional
behaviour exhibited by anyons. We observe an average similarity of 93.6\pm0.2%
between an ideal model and experimental observation. The approach generalises
to an arbitrary number of particles and is independent of the statistics of the
particles used, indicating application with other quantum systems and large
scale application.Comment: 10 pages, 5 figure

A Bromberg

A Peruzzo

A Politi

A Zeilinger

AP Hines

CK Hong

DS Abrams

E Keil

E Knill

F Wilczek

HB Perets

I Kassal

JCF Matthews

JG Rarity

JK Pachos

JM Harrison

K Wörhoff

M Lu

M Michler

M Reck

NJ Ward

Q Wang

R Okamoto

RB Laughlin

RC Liu

T Keilmann

T Rom

YL Lim

Scientific Reports

English

arXiv

The authors have noticed that in the original version of the Article, the current address for author Alberto Polti was not included. This has now been corrected in both HTML and PDF versions of the Article

Matthews, Jonathan C. F.

Poulios, Konstantinos

Meinecke, Jasmin D. A.

Politi, Alberto

Peruzzo, Alberto

Ismail, Nur

Worhoff, Kerstin

Thompson, Mark G.

O'Brien, Jeremy L.

Explore Bristol Research

CORRIGENDUM: Observing fermionic statistics with photons in arbitrary processes

Quantum mechanics defines two classes of particles-bosons and fermions-whose exchange statistics fundamentally dictate quantum dynamics. Here we develop a scheme that uses entanglement to directly observe the correlated detection statistics of any number of fermions in any physical process. This approach relies on sending each of the entangled particles through identical copies of the process and by controlling a single phase parameter in the entangled state, the correlated detection statistics can be continuously tuned between bosonic and fermionic statistics. We implement this scheme via two entangled photons shared across the polarisation modes of a single photonic chip to directly mimic the fermion, boson and intermediate behaviour of two-particles undergoing a continuous time quantum walk. The ability to simulate fermions with photons is likely to have applications for verifying boson scattering and for observing particle correlations in analogue simulation using any physical platform that can prepare the entangled state prescribed her

Matthews, Jonathan C.F.

Meinecke, Jasmin D.A.

Wörhoff, Kerstin

O'Brien, Jeremy L

Southampton (e-Prints Soton)

Observing fermionic statistics with photons in arbitrary processes

Jonathan C. F. Matthews

Konstantinos Poulios

Jasmin D. A. Meinecke

Alberto Politi

Alberto Peruzzo

Nur Ismail

Kerstin Wörhoff

Mark G. Thompson

Jeremy L. O'Brien

Crossref

In contrast to classical physics, quantum mechanics divides particles into two classes-bosons and fermions-whose exchange statistics dictate the dynamics of systems at a fundamental level. In two dimensions quasi-particles known as 'anyons' exhibit fractional exchange statistics intermediate between these two classes. The ability to simulate and observe behaviour associated to fundamentally different quantum particles is important for simulating complex quantum systems. Here we use the symmetry and quantum correlations of entangled photons subjected to multiple copies of a quantum process to directly simulate quantum interference of fermions, bosons and a continuum of fractional behaviour exhibited by anyons. We observe an average similarity of 93.6\pm0.2% between an ideal model and experimental observation. The approach generalises to an arbitrary number of particles and is independent of the statistics of the particles used, indicating application with other quantum systems and large scale application

C. F. Matthews, Jonathan

D. A. Meinecke, Jasmin

W�rhoff, Kerstin

G. Thompson, Mark

L. O'Brien, Jeremy

Repository@Nottingham

Quantum mechanics defines two classes of particles-bosons and fermions-whose exchange statistics fundamentally dictate quantum dynamics. Here we develop a scheme that uses entanglement to directly observe the correlated detection statistics of any number of fermions in any physical process. This approach relies on sending each of the entangled particles through identical copies of the process and by controlling a single phase parameter in the entangled state, the correlated detection statistics can be continuously tuned between bosonic and fermionic statistics. We implement this scheme via two entangled photons shared across the polarisation modes of a single photonic chip to directly mimic the fermion, boson and intermediate behaviour of two-particles undergoing a continuous time quantum walk. The ability to simulate fermions with photons is likely to have applications for verifying boson scattering and for observing particle correlations in analogue simulation using any physical platform that can prepare the entangled state prescribed here.</p

Poulios, Kostas