Nonlocality, steering and quantum state tomography in a single experiment
arXiv:2011.05666 · doi:10.1103/PhysRevLett.127.020401
Abstract
We investigate whether paradigmatic measurements for quantum state tomography, namely mutually unbiased bases and symmetric informationally complete measurements, can be employed to certify quantum correlations. For this purpose, we identify a simple and noise-robust correlation witness for entanglement detection, steering and nonlocality that can be evaluated based on the outcome statistics obtained in the tomography experiment. This allows us to perform state tomography on entangled qutrits, a test of Einstein-Podolsky-Rosen steering and a Bell inequality test, all within a single experiment. We also investigate the trade-off between quantum correlations and subsets of tomographically complete measurements as well as the quantification of entanglement in the different scenarios. Finally, we perform a photonics experiment in which we demonstrate quantum correlations under these flexible assumptions, namely with both parties trusted, one party untrusted and both parties untrusted.
arXiv commentSee also the communication game of arXiv:2007.15643 to which our nonlocal game is strongly related
References in corpus (48)
- Quantum entanglement
- A computable measure of entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Entanglement detection
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Significant-loophole-free test of Bell's theorem with entangled photons
- Random Numbers Certified by Bell's Theorem
- A strong loophole-free test of local realism
- Symmetric Informationally Complete Quantum Measurements
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- On mutually unbiased bases
- Quantum Steering
- Entanglement Certification From Theory to Experiment
- Tight informationally complete quantum measurements
- Bell nonlocality in networks
- Minimal qubit tomography
- Device-independent entanglement quantification and related applications
- Improving Quantum State Estimation with Mutually Unbiased Bases
- Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
- Quantum inference of states and processes
- Negativity and steering: a stronger Peres conjecture
- Characterization of high-dimensional entangled systems via mutually unbiased measurements
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Experimental characterization of qutrits using SIC-POVMs
- Deterministic realization of collective measurements via photonic quantum walks
- Entanglement 25 years after Quantum Teleportation: testing joint measurements in quantum networks
- Genuine high-dimensional quantum steering
- Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
- Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
- A Kochen-Specker inequality from a SIC
- Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits
- Maximal nonlocality from maximal entanglement and mutually unbiased bases, and self-testing of two-qutrit quantum systems
- Most incompatible measurements for robust steering tests
- Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
- Quantum State Tomography of a Single Qubit: Comparison of Methods
- Linking Entanglement Detection and State Tomography via Quantum 2-Designs
- Resource-efficient measurement device independent entanglement witness
- From SICs and MUBs to Eddington
- Experimental optimal orienteering via parallel and antiparallel spins
- An operational link between MUBs and SICs
- The Platonic solids and fundamental tests of quantum mechanics
- Some quantum measurements with three outcomes can reveal nonclassicality where all two-outcome measurements fail to do so
- Realization of mutually unbiased bases for a qubit with only one wave plate: Theory and experiment
- Compounds of symmetric informationally complete measurements and their application in quantum key distribution
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- Entanglement in prepare-and-measure scenarios: many questions, a few answers
- Quantum steering with imprecise measurements
- Quantum Advantage in Information Retrieval
- Semidefinite relaxations for high-dimensional entanglement in the steering scenario
- Simplest bipartite perfect quantum strategies
- Quantum steering and quantum discord under noisy channels and entanglement swapping
- Connecting XOR and XOR* games
- Higher-dimensional symmetric informationally complete measurement via programmable photonic integrated optics
- Imprecise quantum steering inequalities in tripartite systems
- The Interplay between Quantum Contextuality and Wigner Negativity