Quantum Homogenization as a Quantum Steady State Protocol on NISQ Hardware
| Autor: | Yosifov, Alexander, Iyer, Aditya, Ebler, Daniel, Vedral, Vlatko |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 109, 032624 (2024) |
| Druh dokumentu: | Working Paper |
| Popis: | Quantum homogenization is a reservoir-based quantum state approximation protocol, which has been successfully implemented in state transformation on quantum hardware. In this work we move beyond that and propose the homogenization as a novel platform for quantum state stabilization and information protection. Using the Heisenberg exchange interactions formalism, we extend the standard quantum homogenization protocol to the dynamically-equivalent ($\mathtt{SWAP}$)$^\alpha$ formulation. We then demonstrate its applicability on available noisy intermediate-scale quantum (NISQ) processors by presenting a shallow quantum circuit implementation consisting of a sequence of $\mathtt{CNOT}$ and single-qubit gates. In light of this, we employ the Beny-Oreshkov generalization of the Knill-Laflamme (KL) conditions for near-optimal recovery channels to show that our proposed ($\mathtt{SWAP}$)$^\alpha$ quantum homogenization protocol yields a completely positive, trace preserving (CPTP) map under which the code subspace is correctable. Therefore, the protocol protects quantum information contained in a subsystem of the reservoir Hilbert space under CPTP dynamics. Comment: 6 pages, 1 figure |
| Databáze: | arXiv |
| Externí odkaz: |
|