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 three and four interacting qubits.

Apollaro, T., Lorenzo, S., Plastina, F., Consiglio, M., Zyczkowski, K. (2022). Quantum transfer of interacting qubits. NEW JOURNAL OF PHYSICS, 24(8) [10.1088/1367-2630/ac86e7].

Quantum transfer of interacting qubits

Lorenzo, S
Secondo
Writing – Original Draft Preparation
;
2022-08-23

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 three and four interacting qubits.
23-ago-2022
Settore FIS/03 - Fisica Della Materia
Apollaro, T., Lorenzo, S., Plastina, F., Consiglio, M., Zyczkowski, K. (2022). Quantum transfer of interacting qubits. NEW JOURNAL OF PHYSICS, 24(8) [10.1088/1367-2630/ac86e7].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/621618
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