Indistinguishability of identical bosons from a quantum information theory perspective
arXiv:2307.06626 · doi:10.1103/PhysRevLett.132.050201
Abstract
Using tools from quantum information theory, we present a general theory of indistinguishability of identical bosons in experiments consisting of passive linear optics followed by particle number detection. Our results do neither rely on additional assumptions on the input state of the interferometer, such as, for instance, a fixed mode occupation, nor on any assumption on the degrees of freedom that potentially make the particles distinguishable. We identify the expectation value of the projector onto the -particle symmetric subspace as an operationally meaningful measure of indistinguishability, and derive tight lower bounds on it that can be efficiently measured in experiments. Moreover, we present a consistent definition of perfect distinguishability and characterize the corresponding set of states. In particular, we show that these states are diagonal in the computational basis up to a permutationally invariant unitary. Moreover, we find that convex combinations of states that describe partially distinguishable and perfectly indistinguishable particles can lead to perfect distinguishability, which itself is not preserved under convex combinations.
References in corpus (19)
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Mixed-state entanglement from local randomized measurements
- Permutationally invariant quantum tomography
- Sampling of partially distinguishable bosons and the relation to the multidimensional permanent
- Permutationally invariant state reconstruction
- Entanglement in indistinguishable particle systems
- Partial indistinguishability theory for multi-photon experiments in multiport devices
- Hong-Ou-Mandel Interference with Imperfect Single Photon Sources
- Many-particle interference beyond many-boson and many-fermion statistics
- Witnessing genuine multi-photon indistinguishability
- Tight bound on trace distance between a realistic device with partially indistinguishable bosons and the ideal Boson Sampling
- Quantifying n-photon indistinguishability with a cyclic integrated interferometer
- Wave-particle duality of many-body quantum states
- Distillation of Indistinguishable Photons
- Signatures of Many-Particle Interference
- Many-body interference at the onset of chaos
- Many-body interference in bosonic dynamics
- Many-body coherence and entanglement probed by randomized correlation measurements
- Genuine multipartite indistinguishability and its detection via generalized Hong-Ou-Mandel effect