Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
arXiv:2007.03552 · doi:10.1103/PhysRevA.103.022421
Abstract
We investigate the possibility of multiple use of a single copy of three-qubit states for genuine tripartite Einstein-Podolsky-Rosen (EPR) steering. A pure three-qubit state of either the Greenberger-Horne-Zeilinger (GHZ)-type or W-type is shared between two fixed observers in two wings and a sequence of multiple observers in the third wing who perform unsharp or non-projective measurements. The choice of measurement settings for each of the multiple observers in the third wing is independent and uncorrelated with the measurement settings and outcomes of the previous observers. We investigate all possible types of (2->1) and (1->2) genuine tripartite steering in the above set-up. For each case, we obtain an upper limit on the number of observers on the third wing who can demonstrate genuine EPR steering through violation of a tripartite steering inequality. We show that the GHZ state allows for a higher number of observers compared to that for W state. Additionally, (1->2) steering is possible for a larger range of the sharpness parameter compared to that for the (2->1) steering cases.
arXiv commentClose to the published version
References in corpus (82)
- The Quantum Internet
- Three qubits can be entangled in two inequivalent ways
- Quantum secret sharing
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Measurement-based quantum computation
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Quantum Steering
- Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
- Fisher information and multiparticle entanglement
- Quantum telecloning and multiparticle entanglement
- Classification of mixed three-qubit states
- Multipartite entanglement and high precision metrology
- Witnessing multipartite entanglement
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Entanglement and Extreme Spin Squeezing
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Characterizing Entanglement
- Quantum steering: a review with focus on semidefinite programming
- Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
- Secure continuous variable quantum teleportation and Einstein-Podolsky-Rosen steering
- Separability criteria for genuine multiparticle entanglement
- EPR Steering Inequalities from Entropic Uncertainty Relations
- Bell-type inequalities to detect true n-body non-separability
- Device-independent witnesses of genuine multipartite entanglement
- Genuine multipartite Einstein-Podolsky-Rosen steering
- Quantum Communication between N partners and Bell's inequalities
- The definition of multipartite nonlocality
- Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- Unconditional security of entanglement-based continuous-variable quantum secret sharing
- Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
- Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
- Signifying quantum benchmarks for qubit teleportation and secure communication using Einstein-Podolsky-Rosen steering inequalities
- Quantum randomness extraction for various levels of characterization of the devices
- Genuine High-Order Einstein-Podolsky-Rosen Steering
- Unbounded randomness certification using sequences of measurements
- Sufficient conditions for three-particle entanglement and their tests in recent experiments
- Optimal randomness certification in the quantum steering and prepare-and-measure scenarios
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Quadratic Bell inequalities as tests for multipartite entanglement
- Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
- Fine-grained EPR-steering inequalities
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Family of Bell-like inequalities as device-independent witnesses for entanglement depth
- Sequential random access codes and self-testing of quantum measurement instruments
- Comparing the degrees of incompatibility inherent in probabilistic physical theories
- Steering a single system sequentially by multiple observers
- Witnessing entanglement sequentially: Maximally entangled states are not special
- Degree of Complementarity Determines the Nonlocality in Quantum Mechanics
- Extracting information from a qubit by multiple observers: Toward a theory of sequential state discrimination
- Three-observer Bell inequality violation on a two-qubit entangled state
- Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
- Self-testing through EPR-steering
- Unbounded sequence of observers exhibiting Einstein-Podolsky-Rosen steering
- Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
- Facets of bipartite nonlocality sharing by multiple observers via sequential measurements
- Sharing non-locality and non-trivial preparation contextuality using same family of Bell expressions
- Configuration of separability and tests for multipartite entanglement in Bell-type experiments
- Experimental Certification of Sustained Entanglement and Nonlocality after Sequential Measurements
- Detection of genuine tripartite entanglement by multiple sequential observers
- Einstein-Podolsky-Rosen-steering using quantum correlations in non-Gaussian entangled states
- Sharing of tripartite nonlocality by multiple observers measuring sequentially at one side
- Observation of nonlocality sharing via not-so-weak measurements
- Quantum predictions for an unmeasured system cannot be simulated with a finite-memory classical system
- Experimental Demonstration of Sequential Quantum Random Access Codes
- Multisetting Bell-type inequalities for detecting genuine tripartite entanglement
- Multipartite steering inequalities based on entropic uncertainty relations
- Noise-robust preparation contextuality shared between any number of observers via unsharp measurements
- One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
- Sequential measurement-device-independent entanglement detection by multiple observers
- Experimental multipartite entanglement and randomness certification of the W state in the quantum steering scenario
- Stronger steerability criterion for more uncertain continuous variable systems
- Tripartite entanglement detection through tripartite quantum steering in one-sided and two-sided device-independent scenarios
- Tighter Einstein-Podolsky-Rosen steering inequality based on the sum uncertainty relation
- Fine-grained uncertainty relation and biased non-local games in bipartite and tripartite systems
- Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
- Preservation of quantum non-bilocal correlations in noisy entanglement-swapping experiments using weak measurements
- Implementation schemes for unsharp measurements with trapped ions
- Quantifying Tri-partite Entanglement with Entropic Correlations
- Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes
- Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario
Cited by in corpus (22)
- Sharing quantum nonlocality and genuine nonlocality with independent observables
- Measurement-driven navigation in many-body Hilbert space: Active-decision steering
- Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
- Sharing nonlocality in quantum network by unbounded sequential observers
- Network nonlocality sharing via weak measurements in the generalized star network configuration
- Device-independent self-testing of unsharp measurements
- Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
- Eavesdropping a Quantum Key Distribution network using sequential quantum unsharp measurement attacks
- Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
- Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
- Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network
- Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state
- Sequential Reattempt of Telecloning
- Sharing nonlocality in a network using the quantum violation of chain network inequality
- Remote state preparation by multiple observers using a single copy of a two-qubit entangled state
- Genuine three qubit Einstein-Podolsky-Rosen steering under decoherence: Revealing hidden genuine steerability via pre-processing
- Detecting genuine multipartite entanglement using moments of positive maps
- "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
- Robust certification of quantum instruments through a sequential communication game
- Security of Device-independent Quantum Key Distribution under Sequential Attack
- Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions
- Sequential information theoretic protocols in continuous variable systems