Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network

Abstract

How best one can recycle a given quantum resource, mitigating the various difficulties involved in its preparation and preservation, is of considerable importance for ensuring efficient applications in quantum technology. Here we demonstrate quantitatively the resource theoretic advantage of reusing a single copy of a two-qubit entangled state towards information processing. To this end, we consider a scenario of sequential entanglement detection of a given two-qubit state by multiple independent observers on each of the two spatially separated wings. In particular, we consider equal numbers of sequential observers on the two wings. We first determine the upper bound on the number of observers who can detect entanglement employing suitable entanglement witness operators. In terms of the parameters characterizing the entanglement consumed and the robustness of measurements, we then compare the above scenario with the corresponding scenario involving multiple pairs of entangled qubits shared among the two wings. This reveals a clear resource theoretic advantage of recycling a single copy of a two-qubit entangled state in the sequential network.

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References in corpus (46)

• Quantum entanglement
• Bell nonlocality
• Entanglement detection
• The classical-quantum boundary for correlations: discord and related measures
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Random Numbers Certified by Bell's Theorem
• Sudden Death of Entanglement
• Optimization of entanglement witnesses
• Quantum Steering
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Experimental investigation of classical and quantum correlations under decoherence
• Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information
• Maximizing the entanglement of two mixed qubits
• Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
• Characterization of separable states and entanglement witnesses
• Unbounded randomness certification using sequences of measurements
• Experimental detection of entanglement via witness operators and local measurements
• Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
• Entanglement assisted random access codes
• Robustness of Measurement, discrimination games and accessible information
• Steering a single system sequentially by multiple observers
• Witnessing entanglement sequentially: Maximally entangled states are not special
• Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
• Unbounded sequence of observers exhibiting Einstein-Podolsky-Rosen steering
• Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
• Entanglement witness operator for quantum teleportation
• 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
• Sharing quantum nonlocality and genuine nonlocality with independent observables
• Experimental Certification of Sustained Entanglement and Nonlocality after Sequential Measurements
• Detection of genuine tripartite entanglement by multiple sequential observers
• Observation of nonlocality sharing via not-so-weak measurements
• Sharing of tripartite nonlocality by multiple observers measuring sequentially at one side
• Quantum predictions for an unmeasured system cannot be simulated with a finite-memory classical system
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Experimental Demonstration of Sequential Quantum Random Access Codes
• Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
• How difficult is it to prepare a quantum state?
• Recycling qubits for the generation of Bell nonlocality between independent sequential observers
• Sequential measurement-device-independent entanglement detection by multiple observers
• Coherent State Quantum Key Distribution with Entanglement Witnessing
• Towards a unified approach to information-disturbance tradeoffs in quantum measurements
• Estimating localizable entanglement from witnesses
• Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
• Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state
• Environmental effects on nonlocal correlations

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• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Sequentially witnessing entanglement by independent observer pairs
• Remote state preparation by multiple observers using a single copy of a two-qubit entangled state
• Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
• Robust certification of quantum instruments through a sequential communication game
• Security of Device-independent Quantum Key Distribution under Sequential Attack