Quantum computation of dynamical quantum phase transitions and entanglement tomography in a lattice gauge theory

Mueller, Niklas; A., Carolan, Joseph; Connelly, Andrew; Davoudi, Zohreh; Dumitrescu, Eugene; Yeter-Aydeniz, Kübra

doi:10.48550/arxiv.2210.03089

Cited by 3 publications

(5 citation statements)

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“…A major role in making quantum computation and simulation effective to solve practical problems in NISQ devices is played by error correction and mitigation [ 34 , 35 , 36 ]. In the context of digital real-time evolution [ 37 , 38 , 39 , 40 , 41 , 42 ], such procedures should keep the quantum state of the system in the physical subspaces allowed by the gauge constraint. Unfortunately, these techniques are expected to limit the quantum advantage due to the required classical information processing.…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, current simulations on NISQ devices would benefit from the aforementioned techniques in the description of targeted physical phenomena. The hardest operation for any device is represented by a controlled gate, whose implementation varies in each platform, as with ion traps [ 4 , 41 , 42 ] or superconducting circuits [ 37 , 38 , 39 , 40 ]. These setups elaborate single-qubit states by means of laser pulses, tuned with the targeted transitions.…”

Section: Introductionmentioning

confidence: 99%

“…This paper aimed at testing the superconducting qubit systems available in the IBM Quantum platform [ 1 ] in a simple lattice gauge theory application. We implemented digital evolutions generated by the QED Hamiltonian in

dimensions, consisting of non-commuting local contributions [ 4 , 31 , 32 , 33 , 37 , 41 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 ] and displaying the occurrence of dynamical quantum phase transitions (DQPTs) [ 57 , 58 , 59 ] in specific cases of quantum quenches. A discretization of the electromagnetic field is required to implement gauge degrees of freedom in the quantum simulator: accomplishing such a task by replacing the continuous

gauge group with one of the cyclic groups

guarantees a unitary implementation of the gauge connections [ 49 ]; another possible choice is represented by the family of quantum link models [ 60 ].…”

Section: Introductionmentioning

confidence: 99%

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Dynamical Quantum Phase Transitions of the Schwinger Model: Real-Time Dynamics on IBM Quantum

Pomarico

Cosmai

Facchi

et al. 2023

Entropy

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Simulating the real-time dynamics of gauge theories represents a paradigmatic use case to test the hardware capabilities of a quantum computer, since it can involve non-trivial input states’ preparation, discretized time evolution, long-distance entanglement, and measurement in a noisy environment. We implemented an algorithm to simulate the real-time dynamics of a few-qubit system that approximates the Schwinger model in the framework of lattice gauge theories, with specific attention to the occurrence of a dynamical quantum phase transition. Limitations in the simulation capabilities on IBM Quantum were imposed by noise affecting the application of single-qubit and two-qubit gates, which combine in the decomposition of Trotter evolution. The experimental results collected in quantum algorithm runs on IBM Quantum were compared with noise models to characterize the performance in the absence of error mitigation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

gauge group with one of the cyclic groups

guarantees a unitary implementation of the gauge connections [ 49 ]; another possible choice is represented by the family of quantum link models [ 60 ].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamical Quantum Phase Transitions of the Schwinger Model: Real-Time Dynamics on IBM Quantum

Pomarico

Cosmai

Facchi

et al. 2023

Entropy

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“…They offer a promising route toward the inaccessible regime of the QCD phase diagram by directly quantum simulating lattice gauge theories (LGTs), see, e.g., Refs. [1,[4][5][6][7][8][9][10][11][12][13][14][15]. However, thermal i.e.…”

Section: Introductionmentioning

confidence: 99%

Toward Exploring Phase Diagrams of Gauge Theories on Quantum Computers with Thermal Pure Quantum States

Powers¹,

Davoudi²,

Mueller³

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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Aiming at evading the notorious sign problem in classical Monte-Carlo approaches to lattice quantum chromodynamics, we present an approach for quantum computing finite-temperature lattice gauge theories at non-zero density. Based on the thermal pure-quantum-state formalism of statistical mechanics when extended to gauge-theory systems, our approach [1] allows for signproblem-free quantum computations of thermal expectation values and non-equal time correlation functions. By taking a simple lattice gauge theory for which classical benchmarks are possible, namely Z 2 lattice gauge theory in 1+1 dimensions at finite chemical potential, we discuss resource requirements and robustness to algorithmic and hardware imperfections for near-term quantumhardware realizations.

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“…the spectrum of the EH, which is also well reproduced. The apparent advantage of the BW-EHT approach comes at the expense of generality, it is tailored for ground states (it can be extended to non-equilibrium states [28,109]) while classical shadows work regardless of the state.…”

mentioning

confidence: 99%

Randomized measurement protocols for lattice gauge theories

Bringewatt¹,

Kunjummen²,

Mueller³

2023

Preprint

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Randomized measurement protocols, including classical shadows, entanglement tomography, and randomized benchmarking are powerful techniques to estimate observables, perform state tomography, or extract the entanglement properties of quantum states. While unraveling the intricate structure of quantum states is generally difficult and resource-intensive, quantum systems in nature are often tightly constrained by symmetries. This can be leveraged by the symmetry-conscious randomized measurement schemes we propose, yielding clear advantages over symmetry-blind randomization such as reducing measurement costs, enabling symmetry-based error mitigation in experiments, allowing differentiated measurement of (lattice) gauge theory entanglement structure, and, potentially, the verification of topologically ordered states in existing and near-term experiments.

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Quantum computation of dynamical quantum phase transitions and entanglement tomography in a lattice gauge theory

Cited by 3 publications

References 110 publications

Dynamical Quantum Phase Transitions of the Schwinger Model: Real-Time Dynamics on IBM Quantum

Dynamical Quantum Phase Transitions of the Schwinger Model: Real-Time Dynamics on IBM Quantum

Toward Exploring Phase Diagrams of Gauge Theories on Quantum Computers with Thermal Pure Quantum States

Randomized measurement protocols for lattice gauge theories

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