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.
41 pages, 9 figures, 6 tables
References in corpus (7)
- Necessary and sufficient condition for non-zero quantum discord
- Optimal Remote State Preparation
- Remote preparation of an atomic quantum memory
- Mixed state sensitivity of several quantum information benchmarks
- 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
- Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network