Measuring statistics-induced entanglement entropy with a Hong-Ou-Mandel interferometer
arXiv:2210.15520 · doi:10.1038/s41467-024-47335-z
Abstract
Despite its ubiquity in quantum computation and quantum information, a universally applicable definition of quantum entanglement remains elusive. The challenge is further accentuated when entanglement is associated with other key themes, e.g., quantum interference and quantum statistics. Here, we introduce two novel motifs that characterize the interplay of entanglement and quantum statistics: an 'entanglement pointer' and a 'statistics-induced entanglement entropy'. The two provide a quantitative description of the statistics-induced entanglement: (i) they are finite only in the presence of quantum entanglement underlined by quantum statistics; (ii) their explicit form depends on the quantum statistics of the particles (e.g., fermions, bosons, anyons). We have experimentally implemented these ideas by employing an electronic Hong-Ou-Mandel interferometer fed by two highly diluted electron beams in an integer quantum Hall platform. Performing measurements of auto-correlation and cross-correlation of current fluctuations of the scattered beams (following 'collisions'), we quantify the statistics-induced entanglement by experimentally accessing the entanglement pointer and the statistics-induced entanglement entropy. Our theoretical and experimental approaches pave the way to study entanglement in various correlated platforms, e.g., those involving anyonic Abelian and non-Abelian states.
9 pages, 4 figures
References in corpus (16)
- Entanglement detection
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Fractional statistics in anyon collisions
- Quantum Noise as an Entanglement Meter
- Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
- Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
- Aharonov-Bohm interference of fractional quantum Hall edge modes
- Experimental Proof of Nonlocal Wavefunction Collapse for a Single Particle Using Homodyne Measurement
- Primary-Filling e/3 Quasiparticle Interferometer
- Fractional entropy of multichannel Kondo systems from conductance-charge relations
- Hanbury-Brown and Twiss interference of anyons
- Nonlocality of a single photon: paths to an EPR-steering experiment
- Coulomb scattering in a 2D interacting electron gas and production of EPR pairs
- Negative Excess Shot Noise by Anyon Braiding
- Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons
- A robust protocol for entropy measurement in mesoscopic circuits
Cited by in corpus (5)
- Coherent electron splitting in interacting chiral edge channels
- Fractional-statistics-induced entanglement from Andreev-like tunneling
- Periodic source of energy-entangled electrons in helical states coupled to a BCS superconductor
- Detecting entanglement with transport measurement in weakly interacting and fluctuating systems
- Quantum statistics and self-interference in extended colliders