Quantum dynamics simulations beyond the coherence time on noisy intermediate-scale quantum hardware by variational Trotter compression

Berthusen, Noah F.; Trevisan, Thaís V.; Iadecola, Thomas; Orth, Peter P.

doi:10.1103/physrevresearch.4.023097

Cited by 28 publications

(11 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This method of computing overlaps can be used to time-evolve a quantum state parametrised by U ( t ) at time t to time t + d t according to refs. 16 , 17 , 38 , 39 …”

Section: Resultsmentioning

confidence: 99%

Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

et al. 2022

View full text Add to dashboard Cite

The phenomena of quantum criticality underlie many novel collective phenomena found in condensed matter systems. They present a challenge for classical and quantum simulation, in part because of diverging correlation lengths and consequently strong finite-size effects. Tensor network techniques that work directly in the thermodynamic limit can negotiate some of these difficulties. Here, we optimise a translationally invariant, sequential quantum circuit on a superconducting quantum device to simulate the groundstate of the quantum Ising model through its quantum critical point. We further demonstrate how the dynamical quantum critical point found in quenches of this model across its quantum critical point can be simulated. Our approach avoids finite-size scaling effects by using sequential quantum circuits inspired by infinite matrix product states. We provide efficient circuits and a variety of error mitigation strategies to implement, optimise and time-evolve these states.

show abstract

“…This method of computing overlaps can be used to time-evolve a quantum state parametrised by U ( t ) at time t to time t + d t according to refs. 16 , 17 , 38 , 39 …”

Section: Resultsmentioning

confidence: 99%

Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

et al. 2022

View full text Add to dashboard Cite

show abstract

“…For simulations of closed system dynamics, various methods have been developed, such as hybrid classicalquantum variational approaches [28][29][30][31], quantum tensor networks [32][33][34], and quantum signal processing techniques [35,36]. In this work, we consider the Trotter-Suzuki product formula [37,38] suitable for closed-system simulations on NISQ devices [39,40].…”

Section: Encoding Of the Time Evolution Inmentioning

confidence: 99%

Noise-assisted digital quantum simulation of open systems

Guimarães¹,

Lim²,

Vasilevskiy³

et al. 2023

Preprint

View full text Add to dashboard Cite

Quantum systems are inherently open and subject to environmental noise, which can have both detrimental and beneficial effects on their dynamics. In particular, noise has been observed to enable novel functionalities in bio-molecular systems, making the simulation of their dynamics an important target for digital and analog quantum simulation. However, current quantum devices are typically noisy, limiting their computational capabilities. In this work, we propose a novel approach that leverages the intrinsic noise of a quantum device to reduce the quantum computational resources required for simulating open quantum systems. We achieve this by combining quantum noise characterization methods with quantum error mitigation techniques, which allow us to transform and control the intrinsic noise in a quantum circuit. Specifically, we selectively enhance or reduce decoherence rates in the quantum circuit to achieve the desired simulation of open system dynamics. We describe our methods in detail and report on the results of noise characterization and quantum error mitigation on real and emulated IBM Quantum computers. We also provide estimates of the experimental resource requirements for our techniques. We believe that this approach can pave the way for new simulation techniques in Noisy Intermediate-Scale Quantum (NISQ) devices, where their intrinsic noise can be harnessed to assist quantum computations.

show abstract

“…This method of computing overlaps can be used to time-evolve a quantum state |ψ(U (t) parametrised by U (t) at time t to time t + dt according to [16,17,37,38]…”

Section: Quantum Dynamicsmentioning

confidence: 99%

Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

Dborin,

Wimalaweera,

Barratt

et al. 2022

Preprint

View full text Add to dashboard Cite

We optimise a translationally invariant, sequential quantum circuit on a superconducting quantum device to simulate the groundstate of the quantum Ising model through its quantum critical point. We further demonstrate how the dynamical quantum critical point found in quenches of this model across its quantum critical point can be simulated. Our approach avoids finite-size scaling effects by using sequential quantum circuits inspired by infinite matrix product states. We provide efficient circuits and a variety of error mitigation strategies to implement, optimise and time-evolve these states. CONTENTS I. Introduction 1 II. Results 2 A. Quantum Phase Transitions 3 B. Groundstate Optimisation 3 C. Calculating and Optimising Overlaps 5 D. Quantum Dynamics 6 III. Discussion 7 IV. Methods 8 A. Fixed-point equations 8 B. Error Mitigation Strategies 8 References 9

show abstract

Quantum dynamics simulations beyond the coherence time on noisy intermediate-scale quantum hardware by variational Trotter compression

Cited by 28 publications

References 48 publications

Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

Noise-assisted digital quantum simulation of open systems

Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

Contact Info

Product

Resources

About