Quantum transfer of interacting qubits
- URL: http://arxiv.org/abs/2205.01579v1
- Date: Tue, 3 May 2022 15:54:38 GMT
- Title: Quantum transfer of interacting qubits
- Authors: Tony J. G. Apollaro, Salvatore Lorenzo, Francesco Plastina, Mirko
Consiglio, Karol \.Zyczkowski
- Abstract summary: transfer of quantum information between different locations is key to many quantum information processing tasks.
We address the problem of transferring the state of n interacting qubits.
By employing tools from random matrix theory and using the formalism of quantum dynamical maps, we derive a general expression for the average and the variance of the fidelity of an arbitrary quantum state transfer protocol.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The transfer of quantum information between different locations is key to
many quantum information processing tasks. Whereas, the transfer of a single
qubit state has been extensively investigated, the transfer of a many-body
system configuration has insofar remained elusive. We address the problem of
transferring the state of n interacting qubits. Both the exponentially
increasing Hilbert space dimension, and the presence of interactions
significantly scale-up the complexity of achieving high-fidelity transfer. By
employing tools from random matrix theory and using the formalism of quantum
dynamical maps, we derive a general expression for the average and the variance
of the fidelity of an arbitrary quantum state transfer protocol for n
interacting qubits. Finally, by adopting a weak-coupling scheme in a spin
chain, we obtain the explicit conditions for high-fidelity transfer of 3 and 4
interacting qubits.
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