Signal processing techniques for efficient compilation of controlled rotations in trapped ions
| Autor: | Rene Gerritsma, Kareljan Schoutens, Koen Groenland, Freek Witteveen |
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| Přispěvatelé: | Quantum Condensed Matter Theory (ITFA, IoP, FNWI), Algebra, Geometry & Mathematical Physics (KDV, FNWI), Quantum Gases & Quantum Information (WZI, IoP, FNWI), Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Atomic Physics (physics.atom-ph)
FOS: Physical sciences General Physics and Astronomy Toffoli gate Topology 01 natural sciences Quantum logic 010305 fluids & plasmas Physics - Atomic Physics Computer Science::Hardware Architecture Quantum gate Computer Science::Emerging Technologies 0103 physical sciences Trapped ions Quantum information Hardware_ARITHMETICANDLOGICSTRUCTURES 010306 general physics Quantum Quantum computer Physics Quantum Physics Quantum signal processing Qubit Quantum Computing Quantum algorithm Quantum gates Quantum Physics (quant-ph) |
| Zdroj: | New Journal of Physics, 22(6):063006. IOP Publishing Ltd. New Journal of Physics, 22(6) |
| ISSN: | 1367-2630 |
| Popis: | Quantum logic gates with many control qubits are essential in many quantum algorithms, but remain challenging to perform in current experiments. Trapped ion quantum computers natively feature a different type of entangling operation, namely the Molmer-Sorensen (MS) gate which effectively applies an Ising interaction to all qubits at the same time. We consider a sequence of equal all-to-all MS operations, interleaved with single qubit gates that act only on one special qubit. Using a connection with quantum signal processing techniques, we find that it is possible to perform an arbitray SU(2) rotation on the special qubit if and only if all other qubits are in the state |1>. Such controlled rotation gates with N-1 control qubits require 2N applications of the MS gate, and can be mapped to a conventional Toffoli gate by demoting a single qubit to ancilla. 14 pages, 3 figures, comments welcome. v3 includes several fixes and adds an appendix with explicit angles |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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