Universal Existence of Exact Quantum State Transmissions in Interacting Media

Abstract

We consider an exact state transmission, where a density matrix in one information processor A at time $t=0$ is exactly equal to that in another processor B at a later time. We demonstrate that there always exists a complete set of orthogonal states, which can be employed to perform the exact state transmission. Our result is very general in the sense that it holds for arbitrary media between the two processors and for any time interval. We illustrate our results in terms of models of spin, fermionic and bosonic chains. This complete set can be used as bases to study the perfect state transfer, which is associated with degenerated subspaces of this set of states. Interestingly, this formalism leads to a proposal of perfect state transfer via adiabatic passage, which does not depend on the specific form of the driving Hamiltonian.

4 pages, no figure

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Cited by in corpus (16)

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• Almost exact state transfer in a spin chain via pulse control
• High Fidelity State Transfer Over an Unmodulated Linear XY Spin Chain
• Fault-Tolerant Exact State Transmission
• Random Control over Quantum Open Systems
• General Quantum State Swap: an XY model analysis
• Duplex quantum communication through a spin chain
• Hybrid noise protection of logical qubits for universal quantum computation
• Perfect Function Transfer in two- and three- dimensions without initialization
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• Universality in Exact Quantum State Population Dynamics and Control
• Quantum states experimentally achieving high-fidelity transmission over a spin chain