Adaptive advantage in entanglement-assisted communications
arXiv:2203.05372 · doi:10.1103/PhysRevLett.129.120504
Abstract
Entanglement is known to boost the efficiency of classical communication. In distributed computation, for instance, exploiting entanglement can reduce the number of communicated bits or increase the probability to obtain a correct answer. Entanglement-assisted classical communication protocols usually consist of two successive rounds: first a Bell test round, in which the parties measure their local shares of the entangled state, and then a communication round, where they exchange classical messages. Here, we go beyond this standard approach and investigate adaptive uses of entanglement: we allow the receiver to wait for the arrival of the sender's message before measuring his share of the entangled state. We first show that such adaptive protocols improve the success probability in Random Access Codes. Second, we show that once adaptive measurements are used, an entanglement-assisted bit becomes a strictly stronger resource than a qubit in prepare-and-measure scenarios. We briefly discuss extension of these ideas to scenarios involving quantum communication and identify resource inequalities.
6 pages, 2 figures
References in corpus (6)
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Bounding the set of quantum correlations
- Symmetry groups, semidefinite programs, and sums of squares
- Quantum Random Access Codes using Single -level Systems
- Bounding the set of finite dimensional quantum correlations
- (4,1)-Quantum Random Access Coding Does Not Exist