Quantum simulation of gauge theory via orbifold lattice

Buser, Alexander J.; Gharibyan, Hrant; Hanada, Masanori; Honda, Masazumi; Liu, Junyu

doi:10.1007/jhep09(2021)034

Cited by 36 publications

(26 citation statements)

References 74 publications

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“…Pfaffian phase fluctuations. Left: Re( 𝑒 𝑖 𝜙 pq ) vs. 𝜆 lat ∝ 1/𝑁3 𝜏 for gauge group SU(4) confirms that the Pfaffian becomes real and positive in the 𝑁 𝜏 → ∞ continuum limit. Right: Larger fluctuations for larger 𝑔 with gauge group SU(8) and 𝑁 𝜏 = 8 are likely related to small-𝑁 𝜏 calculations becoming unstable.…”

mentioning

confidence: 85%

“…By dimensionally reducing supersymmetric theories all the way down to (0+1)-dimensional quantum mechanics, we end up with significantly simpler systems to analyze. In addition to reducing the number of degrees of freedom, which makes these theories promising targets for near-term quantum simulation [2][3][4][5], the dimensionally reduced systems also tend to be super-renormalizable. In many cases a one-loop counterterm calculation suffices to restore supersymmetry in the continuum limit [6], with no need for the numerical fine-tuning typically required in higher dimensions.…”

Section: Introductionmentioning

confidence: 99%

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Thermal phase structure of dimensionally reduced super-Yang--Mills

Schaich¹,

Jha²,

Joseph³

2022

Preprint

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We present our current results from ongoing lattice investigations of the Berenstein-Maldacena-Nastase deformation of maximally supersymmetric Yang-Mills quantum mechanics. We focus on the thermal phase structure of this theory, which depends on both the temperature 𝑇 and the deformation parameter 𝜇, through the dimensionless ratios 𝑇/𝜇 and 𝑔 = 𝜆/𝜇 3 with 𝜆 the 't Hooft coupling. We determine the critical 𝑇/𝜇 of the confinement transition for couplings 𝑔 that span three orders of magnitude, to connect weak-coupling perturbative calculations and large-𝑁 dual supergravity predictions in the strong-coupling limit. Analyzing multiple lattice sizes up to 𝑁 𝜏 = 24 and numbers of colors up to 𝑁 = 16 allows initial checks of the large-𝑁 continuum limit.

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mentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Thermal phase structure of dimensionally reduced super-Yang--Mills

Schaich¹,

Jha²,

Joseph³

2022

Preprint

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“…We now investigate the efficacy of LPG protection by numerically simulating a digital quantum computer that implements the gauge-theory dynamics through discrete, Trotterized time-steps. In recent years, quantum advantage beyond classical capabilities has been demonstrated on various quantum computing platforms such as superconducting quantum devices and photonic systems [65][66][67][68], and the associated rapid engineering progress has motivated the use of such devices to probe highenergy physics phenomena theoretically and experimen-tally [19,23,[69][70][71][72][73][74][75][76].…”

Section: Quench Dynamics On a Quantum Computermentioning

confidence: 99%

Suppressing nonperturbative gauge errors in the thermodynamic limit using local pseudogenerators

Van Damme,

Mildenberger,

Grusdt

et al. 2021

Preprint

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With recent progress in quantum simulations of lattice-gauge theories, it is becoming a pressing question how to reliably protect the gauge symmetry that defines such models. In a recent work [J. C. Halimeh et al., arXiv:2108.02203], an experimentally feasible gauge-protection scheme has been proposed that is based on the concept of a local pseudogenerator, which is required to act identically to the full gauge-symmetry generator in the target gauge sector, but not necessarily outside of it. The scheme has been analytically and numerically shown to reliably stabilize lattice gauge theories in the presence of perturbative errors on finite-size analog quantum-simulation devices. In this work, through uniform matrix product state calculations, we demonstrate the efficacy of this scheme for nonperturbative errors in analog quantum simulators up to all accessible evolution times in the thermodynamic limit, where it is a priori neither established nor expected that this scheme will succeed. Our results indicate the presence of an emergent gauge symmetry in an adjusted gauge theory even in the thermodynamic limit, which is beyond our analytic predictions. Additionally, we show through quantum circuit model calculations that gauge protection with local pseudogenerators also successfully suppresses gauge violations on finite quantum computers that discretize time through Trotterization. Our results firm up the robustness and feasibility of the local pseudogenerator as a viable tool for enforcing gauge invariance in modern quantum simulators and NISQ devices.

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“…[6][7][8], which explored dynamical supersymmetry breaking for different superpotentials. Similar supersymmetric matrix models are also under consideration as targets for quantum computing [9][10][11]. In this work we will study dynamical supersymmetry breaking for three different superpotentials.…”

Section: Introductionmentioning

confidence: 99%

Quantum computing for lattice supersymmetry

Culver¹,

Schaich²

2021

Preprint

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Quantum computing promises the possibility of studying the real-time dynamics of nonperturbative quantum field theories while avoiding the sign problem that obstructs conventional lattice approaches. Current and near-future quantum devices are severely limited by noise, making investigations of simple low-dimensional lattice systems ideal testbeds for algorithm development. Considering simple supersymmetric systems, such as supersymmetric quantum mechanics with different superpotentials, allows for the analysis of phenomena like dynamical supersymmetry breaking. We present ongoing work applying quantum computing techniques to study such theories, targeting real-time dynamics and supersymmetry breaking effects.

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Quantum simulation of gauge theory via orbifold lattice

Cited by 36 publications

References 74 publications

Thermal phase structure of dimensionally reduced super-Yang--Mills

Thermal phase structure of dimensionally reduced super-Yang--Mills

Suppressing nonperturbative gauge errors in the thermodynamic limit using local pseudogenerators

Quantum computing for lattice supersymmetry

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