Quantum gates by resonantly driving many-body eigenstates, with a focus on Polychronakos' model
| Autor: | Kareljan Schoutens, Koen Groenland |
|---|---|
| Přispěvatelé: | Quantum Condensed Matter Theory (ITFA, IoP, FNWI), IoP (FNWI), Logic and Computation (ILLC, FNWI/FGw), ILLC (FNWI) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Physics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Statistical and Nonlinear Physics 01 natural sciences Many body 010305 fluids & plasmas symbols.namesake Quantum gate Qubit 0103 physical sciences symbols Quantum system Spin echo Statistical physics Statistics Probability and Uncertainty Quantum Physics (quant-ph) 010306 general physics Hamiltonian (quantum mechanics) Quantum Condensed Matter - Statistical Mechanics Eigenvalues and eigenvectors |
| Zdroj: | Journal of Statistical Mechanics, 2019, 073103.1-073103.24 Journal of Statistical Mechanics : Theory and Experiment, 2019(7):073103. IOP Publishing Ltd. |
| ISSN: | 1742-5468 |
| Popis: | Accurate, nontrivial quantum operations on many qubits are experimentally challenging. As opposed to the standard approach of compiling larger unitaries into sequences of 2-qubit gates, we propose a protocol on Hamiltonian control fields which implements highly selective multi-qubit gates in a strongly-coupled many-body quantum system. We exploit the selectiveness of resonant driving to exchange only 2 out of $2^N$ eigenstates of some background Hamiltonian, and discuss a basis transformation, the eigengate, that makes this operation relevant to the computational basis. The latter has a second use as a Hahn echo which undoes the dynamical phases due to the background Hamiltonian. We find that the error of such protocols scales favourably with the gate time as $t^{-2}$, but the protocol becomes inefficient with a growing number of qubits N. The framework is numerically tested in the context of a spin chain model first described by Polychronakos, for which we show that an earlier solution method naturally gives rise to an eigengate. Our techniques could be of independent interest for the theory of driven many-body systems. 21 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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