Entanglement catalysis for quantum states and noisy channels
- URL: http://arxiv.org/abs/2202.05228v2
- Date: Fri, 23 Feb 2024 09:09:18 GMT
- Title: Entanglement catalysis for quantum states and noisy channels
- Authors: Chandan Datta, Tulja Varun Kondra, Marek Miller, Alexander Streltsov
- Abstract summary: We investigate properties of entanglement and its role for quantum communication.
For transformations between bipartite pure states, we prove the existence of a universal catalyst.
We further develop methods to estimate the number of singlets which can be established via a noisy quantum channel.
- Score: 41.94295877935867
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Many applications of the emerging quantum technologies, such as quantum
teleportation and quantum key distribution, require singlets, maximally
entangled states of two quantum bits. It is thus of utmost importance to
develop optimal procedures for establishing singlets between remote parties. As
has been shown very recently, singlets can be obtained from other quantum
states by using a quantum catalyst, an entangled quantum system which is not
changed in the procedure. In this work we take this idea further, investigating
properties of entanglement catalysis and its role for quantum communication.
For transformations between bipartite pure states, we prove the existence of a
universal catalyst, which can enable all possible transformations in this
setup. We demonstrate the advantage of catalysis in asymptotic settings, going
beyond the typical assumption of independent and identically distributed
systems. We further develop methods to estimate the number of singlets which
can be established via a noisy quantum channel when assisted by entangled
catalysts. For various types of quantum channels our results lead to optimal
protocols, allowing to establish the maximal number of singlets with a single
use of the channel.
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