Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
arXiv:2102.02550 · doi:10.1103/PhysRevA.105.032211
Abstract
Non-locality and quantum measurement are two fundamental topics in quantum theory and theirinterplay attracts intensive focus since the discovery of Bell theorem. Non-locality sharing amongmultiple observers is predicted and experimentally observed. However, only one-sided sequentialcase, i.e., one Alice and multiple Bobs is widely discussed and little is known about two-sided case.Here, we theoretically and experimentally explore the non-locality sharing in two-sided sequentialmeasurements case in which one entangled pair is distributed to multiple Alices and Bobs. Weexperimentally observed double EPR steering among four observers in the photonic system for thefirst time. In the case that all observers adopt the same measurement strength, it is observedthat double EPR steering can be demonstrated simultaneously while double Bell-CHSH inequalityviolations are shown to be impossible. The exact formula relating Bell quantity and sequential weakmeasurements for arbitrary many Alices and Bobs is also derived, showing that no more doubleBell-CHSH inequality violations is possible under unbiased input condition. The results not onlydeepen our understanding of relation between sequential measurements and non-locality but alsomay find important applications in quantum information tasks.
8 pages, 4 figures
References in corpus (29)
- Bell nonlocality
- On the Measurement of Qubits
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Ultra-bright source of polarization-entangled photons
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- Quantum Steering
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Experimental EPR-Steering of Bell-local States
- Implementation of Continuous-Variable Quantum Key Distribution with Composable and One-Sided-Device-Independent Security Against Coherent Attacks
- Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution
- Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
- Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
- Unbounded randomness certification using sequences of measurements
- Demonstration of MultiSetting One-Way Einstein-Podolsky-Rosen Steering in Two-Qubit Systems
- Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
- Sequential random access codes and self-testing of quantum measurement instruments
- Steering a single system sequentially by multiple observers
- Three-observer Bell inequality violation on a two-qubit entangled state
- Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
- Unbounded sequence of observers exhibiting Einstein-Podolsky-Rosen steering
- Sharing non-locality and non-trivial preparation contextuality using same family of Bell expressions
- Experimental Certification of Sustained Entanglement and Nonlocality after Sequential Measurements
- Limitations on sharing Bell nonlocality between sequential pairs of observers
- Detection of genuine tripartite entanglement by multiple sequential observers
- Experimental Demonstration of Sequential Quantum Random Access Codes
- Experimental Test of Sequential Weak Measurements for Certified Quantum Randomness Extraction
- Bounding sets of sequential quantum correlations and device-independent randomness certification
- Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
- Certified Randomness From Steering Using Sequential Measurements
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- Non-locality sharing for a three-qubit system via multilateral sequential measurements
- Network nonlocality sharing via weak measurements in the extended bilocal scenario
- Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation
- Recycled entanglement detection by arbitrarily many sequential and independent pairs of observers
- Entanglement witnessing by arbitrarily many independent observers recycling a local quantum shared state
- Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
- Network nonlocality sharing via weak measurements in the generalized star network configuration
- Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network
- Quantifying the intrinsic randomness in sequential measurements
- Sequentially witnessing entanglement by independent observer pairs
- Sharing EPR steering between sequential pairs of observers
- Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
- Generalising the Horodecki criterion to nonprojective qubit measurements
- Recovering quantum entanglement after its certification
- Scalable multiparty steering based on a single pair of entangled qubits
- Complementary Relationships between Entanglement and Measurement
- Security of Device-independent Quantum Key Distribution under Sequential Attack