Remote state preparation by multiple observers using a single copy of a two-qubit entangled state
arXiv:2109.03682 · doi:10.1007/s11128-024-04263-7
Abstract
We consider a scenario of remote state preparation (RSP) of qubits in the context of sequential network scenario. A single copy of an entangled state is shared between Alice on one side, and several Bobs on the other, who sequentially perform unsharp single-particle measurements in order to prepare a specific state. In the given scenario without any shared randomness between the various Bobs, we first determine the classical bound of fidelity for the preparation of remote states by the Bobs. We then show that there can be at most 6 number of Bobs who can sequentially and independently prepare the remote qubit state in Alice's lab with fidelity exceeding the classical bound in the presence of shared quantum correlations. The upper bound is achieved when the singlet state is initially shared between Alice and the first Bob and every Bob prepares a state chosen from the equatorial circle of the Bloch sphere. Then we introduce a new RSP protocol for non-equatorial ensemble of states. The maximum number of Bobs starts to decrease from six when either the choice of remote states is shifted from the equatorial circle towards the poles of the Bloch sphere, or when the initial state shifts towards non-maximally entangled pure and mixed states.
arXiv comment41 pages, 9 figures, 6 tables
References in corpus (42)
- Entanglement of a Pair of Quantum Bits
- Multi-photon entanglement and interferometry
- Necessary and sufficient condition for non-zero quantum discord
- Remote State Preparation
- Minimum cbits for remote preperation and measurement of a qubit
- Information-theoretic aspects of quantum inseparability of mixed states
- Quantum discord as resource for remote state preparation
- Optimal Remote State Preparation
- The cost of exactly simulating quantum entanglement with classical communication
- Oblivious remote state preparation
- Remote Preparation of Mixed States via Noisy Entanglement
- Experimental Implementation of Remote State Preparation by Nuclear Magnetic Resonance
- Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
- Remote preparation of an atomic quantum memory
- Remote preparation of a single-mode photonic qubit by measuring field quadrature noise
- Unbounded randomness certification using sequences of measurements
- Mixed state sensitivity of several quantum information benchmarks
- Limits on the deterministic creation of pure single-photon states using parametric down-conversion
- Remote State Preparation without Oblivious Conditions
- Remote state preparation and teleportation in phase space
- Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
- Deterministic remote preparation of arbitrary photon polarization states
- Steering a single system sequentially by multiple observers
- Witnessing entanglement sequentially: Maximally entangled states are not special
- Classical Teleportation of a Quantum Bit
- 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
- Facets of bipartite nonlocality sharing by multiple observers via sequential measurements
- Steering Bell-diagonal states
- Detection of genuine tripartite entanglement by multiple sequential observers
- Observation of nonlocality sharing via not-so-weak measurements
- Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
- Sequential measurement-device-independent entanglement detection by multiple observers
- Local hidden variable models for entangled quantum states using finite shared randomness
- Remote state preparation of two-component Bose-Einstein condensates
- Can communication power of separable correlations exceed that of entanglement resource?
- Remote state preparation of single photon orbital angular momentum lattices
- Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states
- Quantum Advantage for Shared Randomness Generation
- Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network
- Remote State Preparation using Correlations beyond Discord