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Probing many-body localization on a noisy quantum computer
- Source :
- Physical Review A. 103
- Publication Year :
- 2021
- Publisher :
- American Physical Society (APS), 2021.
-
Abstract
- A disordered quantum system of interacting particles exhibits localized behavior when the disorder is large compared to the interaction strength. Studying this phenomenon on a quantum computer with no, or limited, error correction is challenging because even weak coupling to a thermal environment destroys most signatures of localization. Fortunately, spectral functions of local operators are known to contain features that can survive the presence of noise. In these spectra, discrete peaks and a soft gap at low frequencies compared to the thermal phase indicate localization. Here, we present the computation of spectral functions on a trapped-ion quantum computer for a one-dimensional Heisenberg model with disorder. Further, we design an error-mitigation technique which is effective at removing the noise from the measurement allowing clear signatures of localization to emerge as the disorder increases. Thus, we show that spectral functions can serve as a robust and scalable diagnostic of many-body localization on current and future generations of quantum computers.
- Subjects :
- Coupling
Physics
Quantum Physics
Strongly Correlated Electrons (cond-mat.str-el)
Heisenberg model
Computation
Phase (waves)
FOS: Physical sciences
01 natural sciences
Noise (electronics)
Spectral line
010305 fluids & plasmas
Condensed Matter - Strongly Correlated Electrons
0103 physical sciences
Quantum system
Statistical physics
Quantum Physics (quant-ph)
010306 general physics
Quantum computer
Subjects
Details
- ISSN :
- 24699934 and 24699926
- Volume :
- 103
- Database :
- OpenAIRE
- Journal :
- Physical Review A
- Accession number :
- edsair.doi.dedup.....2bd80d2bbd0e22e09f1b40d084f5800e
- Full Text :
- https://doi.org/10.1103/physreva.103.032606