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Quantum Information Processing

Kraus operator formalism for quantum multiplexer operations for arbitrary two-qubit mixed states

Pavithra Udayakumar, Preethika Kumar-Eslami

Published Oct 23, 2019• 1 citation
Publisher
DOI
10.1007/s11128-019-2478-0

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We consider the multi-qubit fixed-excitation state transfer along the spin chain with dipole-dipole interaction subjected to the interaction with environment governed by the Lindblad equation preserving the excitation number during spin-evolution. The state transfer algorithm includes the state restoring via Kraus operators and ancilla measurement. As a result, the transferred state appears in superposition with completely mixed state, the latter disappears with vanishing interaction with environment. In that case we deal with probabilistic perfect state transfer. Example of an arbitrary multi-qubit one-excitation state transfer is present and its robustness with respect to perturbation of the Kraus operators is studied.