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Berry phase estimation in gate-based adiabatic quantum simulation
- Source :
- RUA. Repositorio Institucional de la Universidad de Alicante, Universidad de Alicante (UA)
- Publication Year :
- 2020
- Publisher :
- American Physical Society (APS), 2020.
-
Abstract
- Gate-based quantum computers can in principle simulate the adiabatic dynamics of a large class of Hamiltonians. Here we consider the cyclic adiabatic evolution of a parameter in the Hamiltonian. We propose a quantum algorithm to estimate the Berry phase and use it to classify the topological order of both single-particle and interacting models, highlighting the differences between the two. This algorithm is immediately extensible to any interacting topological system. Our results evidence the potential of near-term quantum hardware for the topological classification of quantum matter.<br />Comment: Main text: 4 pages, 3 figures; Supplemental material: 9 pages, 9 figures
- Subjects :
- Física de la Materia Condensada
FOS: Physical sciences
Berry phase estimation
Quantum simulator
01 natural sciences
010305 fluids & plasmas
symbols.namesake
0103 physical sciences
Gate-based
Topological order
Statistical physics
010306 general physics
Adiabatic process
Quantum
Quantum computer
Physics
Quantum Physics
Adiabatic evolution
Condensed Matter - Other Condensed Matter
Geometric phase
symbols
Quantum algorithm
Quantum simulation
Quantum Physics (quant-ph)
Hamiltonian (quantum mechanics)
Other Condensed Matter (cond-mat.other)
Subjects
Details
- ISSN :
- 24699934 and 24699926
- Volume :
- 101
- Database :
- OpenAIRE
- Journal :
- Physical Review A
- Accession number :
- edsair.doi.dedup.....f329eef42cf5688d3074fae1c18e9c01