On the power of coherently controlled quantum adiabatic evolutions
We provide a new approach to adiabatic state preparation that uses coherent control and measurement to average different adiabatic evolutions in ways that cause their diabatic errors to cancel, allowing highly accurate state preparations using less time than conventional approaches. We show that thi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/12/123034 |
| _version_ | 1797751546354597888 |
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| author | Mária Kieferová Nathan Wiebe |
| author_facet | Mária Kieferová Nathan Wiebe |
| author_sort | Mária Kieferová |
| collection | DOAJ |
| description | We provide a new approach to adiabatic state preparation that uses coherent control and measurement to average different adiabatic evolutions in ways that cause their diabatic errors to cancel, allowing highly accurate state preparations using less time than conventional approaches. We show that this new model for adiabatic state preparation is polynomially equivalent to conventional adiabatic quantum computation by providing upper bounds on the cost of simulating such evolutions on a circuit-based quantum computer. Finally, we show that this approach is robust to small errors in the quantum control register and that the system remains protected against noise on the adiabatic register by the spectral gap. |
| first_indexed | 2024-03-12T16:50:05Z |
| format | Article |
| id | doaj.art-e80dae81dcdf45039693399d33ef0afb |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:50:05Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e80dae81dcdf45039693399d33ef0afb2023-08-08T11:24:19ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161212303410.1088/1367-2630/16/12/123034On the power of coherently controlled quantum adiabatic evolutionsMária Kieferová0Nathan Wiebe1IQC and Dept. of Physics and Astronomy, University of Waterloo, 200 University Ave. W, Waterloo, ON, N2L 3G1, Canada; Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia and Department of Theoretical Physics, Comenius University, Bratislava, SlovakiaQuantum Architectures and Computation Group, Microsoft Research, Redmond, WA 98052, USA; Institute for Quantum Computing and Department of Combinatorics and Optimization, University of Waterloo, 200 University Ave., West, Waterloo, Ontario, CanadaWe provide a new approach to adiabatic state preparation that uses coherent control and measurement to average different adiabatic evolutions in ways that cause their diabatic errors to cancel, allowing highly accurate state preparations using less time than conventional approaches. We show that this new model for adiabatic state preparation is polynomially equivalent to conventional adiabatic quantum computation by providing upper bounds on the cost of simulating such evolutions on a circuit-based quantum computer. Finally, we show that this approach is robust to small errors in the quantum control register and that the system remains protected against noise on the adiabatic register by the spectral gap.https://doi.org/10.1088/1367-2630/16/12/123034adiabatic evolutioncoherent controlstate preparationquantum simulationquantum computationadiabatic theorem |
| spellingShingle | Mária Kieferová Nathan Wiebe On the power of coherently controlled quantum adiabatic evolutions New Journal of Physics adiabatic evolution coherent control state preparation quantum simulation quantum computation adiabatic theorem |
| title | On the power of coherently controlled quantum adiabatic evolutions |
| title_full | On the power of coherently controlled quantum adiabatic evolutions |
| title_fullStr | On the power of coherently controlled quantum adiabatic evolutions |
| title_full_unstemmed | On the power of coherently controlled quantum adiabatic evolutions |
| title_short | On the power of coherently controlled quantum adiabatic evolutions |
| title_sort | on the power of coherently controlled quantum adiabatic evolutions |
| topic | adiabatic evolution coherent control state preparation quantum simulation quantum computation adiabatic theorem |
| url | https://doi.org/10.1088/1367-2630/16/12/123034 |
| work_keys_str_mv | AT mariakieferova onthepowerofcoherentlycontrolledquantumadiabaticevolutions AT nathanwiebe onthepowerofcoherentlycontrolledquantumadiabaticevolutions |