Optimal probabilistic storage and retrieval of unitary channels
read the original abstract
We address the question of a quantum memory storage of quantum dynamics. In particular, we design an optimal protocol for $N\to 1$ probabilistic storage-and-retrieval of unitary channels on $d$-dimensional quantum systems. If we may access the unknown unitary gate only $N$-times, the optimal success probability of perfect retrieval of its single use is $N/(N-1+d^2)$. The derived size of the memory system exponentially improves the known upper bound on the size of the program register needed for probabilistic programmable quantum processors. Our results are closely related to probabilistic perfect alignment of reference frames and probabilistic port-based teleportation.
This paper has not been read by Pith yet.
Forward citations
Cited by 3 Pith papers
-
Random dilation superchannel
Presents a poly-complexity quantum circuit implementing the random dilation superchannel for parallel channel queries, with approximate sequential extension, a no-go theorem for exact sequential dilation, and an appli...
-
Quantum Advantage in Storage and Retrieval of Isometry Channels
Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).
-
A resource theory of asynchronous quantum information processing
Introduces resource theories for asynchronous port-based teleportation with free classical and quantum pre-processing, computes tight fidelity bounds for isotropic, graph, and symmetrized EPR states, and proves the st...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.