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Title: Power of one qumode for quantum computation
Authors: Liu, Nana
Thompson, Jayne
Weedbrook, Christian
Lloyd, Seth
Vedral, Vlatko
Gu, Mile
Modi, Kavan
Keywords: Quantum Computation
Quantum Algorithms
Issue Date: 2016
Source: Liu, N., Thompson, J., Weedbrook, C., Lloyd, S., Vedral, V., Gu, M., & Modi, K. (2016). Power of one qumode for quantum computation. Physical Review A, 93(5), 052304-. doi:10.1103/PhysRevA.93.052304
Series/Report no.: Physical Review A
Abstract: Although quantum computers are capable of solving problems like factoring exponentially faster than the best-known classical algorithms, determining the resources responsible for their computational power remains unclear. An important class of problems where quantum computers possess an advantage is phase estimation, which includes applications like factoring. We introduce a computational model based on a single squeezed state resource that can perform phase estimation, which we call the power of one qumode. This model is inspired by an interesting computational model known as deterministic quantum computing with one quantum bit (DQC1). Using the power of one qumode, we identify that the amount of squeezing is sufficient to quantify the resource requirements of different computational problems based on phase estimation. In particular, we can use the amount of squeezing to quantitatively relate the resource requirements of DQC1 and factoring. Furthermore, we can connect the squeezing to other known resources like precision, energy, qudit dimensionality, and qubit number. We show the circumstances under which they can likewise be considered good resources.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.93.052304
Rights: © 2016 American Physical Society (APS). This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society (APS). The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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