Berlin 2024 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 12: Poster I

QI 12.20: Poster

Dienstag, 19. März 2024, 11:00–14:30, Poster B

Refining classical protocols for transmitting quantum systems — •Sebastian Schlösser and Matthias Kleinmann — Universität Siegen, Siegen, Germany

We study a scenario in which Alice transmits a quantum state to Bob, who then performs a quantum measurement. Here, the state is not known to Bob and the measurement is not known to Alice. A classical simulation of this scenario requires communication of at least one bit, but the quantitative advantage of quantum systems is an open question. The problem was addressed by Toner and Bacon and the most recent results establish that two bits of communication and shared randomness are sufficient for the case of one qubit and generalized measurements. We refine this recent protocol and show that a perfect simulation for a single round can be achieved by transmitting only 1.89 bits on average. The reduction in communication cost raises the question of whether a further reduction is possible in the qubit case. Importantly, for a qutrit, it is not even known whether a finite amount of communication is sufficient to simulate the quantum statistics. We investigate other state spaces to gain a comprehensive understanding of the problem and aim to extend the protocol to the qutrit case.

Keywords: quantum communication; quantum information theory; communication complexity; quantum protocols; nonlocality