Characterizing mixed state entanglement through single-photon interference
arXiv:2009.02829 · doi:10.1103/PhysRevA.104.013704
Abstract
Entanglement verification and measurement is essential for experimental tests of quantum mechanics and also for quantum communication and information science. Standard methods of verifying entanglement in a bipartite mixed state require detection of both particles and involve coincidence measurement. We present a method that enables us to verify and measure entanglement in a two-photon mixed state without detecting one of the photons, i.e., without performing any coincidence measurement or postselection. We consider two identical sources, each of which can generate the same two-photon mixed state but they never emit simultaneously. We show that one can produce a set of single-photon interference patterns, which contain information about entanglement in the two-photon mixed state. We prove that it is possible to retrieve the information about entanglement from the visibility of the interference patterns. Our method reveals a distinct avenue for verifying and measuring entanglement in mixed states.
arXiv comment10 pages, 3 figures
References in corpus (36)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- Entanglement of a Pair of Quantum Bits
- Entanglement detection
- On the Measurement of Qubits
- Significant-loophole-free test of Bell's theorem with entangled photons
- Separability criterion and inseparable mixed states with positive partial transposition
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum Imaging with Undetected Photons
- Infrared Spectroscopy with Visible Light
- Detection of entanglement with few local measurements
- Experimental Detection of Entanglement with Polarized Photons
- An observable entanglement measure for unknown mixed quantum states
- Entanglement by Path Identity
- Tunable Optical Coherence Tomography in the Infrared Range Using Visible Photons
- Theory of Quantum Imaging with Undetected Photons
- Schmidt modes in the angular spectrum of bright squeezed vacuum
- Optical sectioning in induced coherence tomography with frequency-entangled photons
- Optimal Entanglement Witnesses for Qubits and Qutrits
- Induced coherence with and without induced emission
- Experimental High-Dimensional Entanglement by Path Identity
- Transverse Entanglement of Biphotons
- Coherence and multimode correlations from vacuum fluctuations in a microwave superconducting cavity
- Induced Coherence, Vacuum Fields, and Complementarity in Biphoton Generation
- Quantifying the Momentum Correlation between Two Light Beams by Detecting One
- Nonclassicality of induced coherence without induced emission
- Complementarity in Biphoton Generation with Stimulated or Induced Coherence
- Method for universal detection of two-photon polarization entanglement
- Twin Photon Correlations in Single-Photon Interference
- Construction of optimal witness for unknown two-qubit entanglement
- Partial Polarization by Quantum Distinguishability
- Entanglement, coherence, and redistribution of quantum resources in double spontaneous downconversion processes
- Observable estimation of entanglement of formation and quantum discord for bipartite mixed quantum states
- Experimental detection of entanglement with optimal-witness families
- Many-Particle Interferometry and Entanglement by Path Identity
Cited by in corpus (9)
- Quantum Indistinguishability by Path Identity: The awakening of a sleeping beauty
- Quantum imaging and metrology with undetected photons: a tutorial
- One-photon measurement of two-photon entanglement
- Measuring the Evolution of Entanglement in Compton Scattering
- Single-qubit measurement of two-qubit entanglement in generalized Werner states
- Quantum state tomography of undetected photons
- Nonclassicality of induced coherence witnessed by contextuality
- Characterizing a high-dimensional unitary transformation without measuring the qudit it transforms
- Phase-Subtractive Interference and Noise-Resistant Quantum Imaging with Two Undetected Photons