Digital-Analog Quantum Simulations Using the Cross-Resonance Effect

Gonzalez-Raya, Tasio; Asensio-Perea, Rodrigo; Martin, Ana; Céleri, Lucas C.; Sanz, Mikel; Lougovski, Pavel; Dumitrescu, Eugene

doi:10.1103/prxquantum.2.020328

Cited by 25 publications

(13 citation statements)

References 34 publications

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“…VIII. For example, some recent work has utilized the cross-resonance effect of a superconducting quantum computer to replace sequences of one-and two-qubit gate operations [620,621]. This very different quantum-computing paradigm will require that users to effectively engage across the quantum-computing stack, and to have access to software layers that generate pulses needed to drive the interactions of relevance to HEP applications, such as those of lattice gauge theories.…”

Section: B Hep Programming Needsmentioning

confidence: 99%

Quantum Simulation for High Energy Physics

Bauer¹,

Davoudi²,

Balantekin³

et al. 2022

Preprint

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It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. This fact speaks of a remarkable rate of growth of this subfield over the past few years, stimulated by the impressive advancements in Quantum Information Sciences (QIS) and associated technologies over the past decade, and the significant investment in this area by the government and private sectors in the U.S. and other countries. High-energy physicists have quickly identified problems of importance to our understanding of nature at the most fundamental level, from tiniest distances to cosmological extents, that are intractable with classical computers but may benefit from quantum advantage. They have initiated, and continue to carry out, a vigorous program in theory, algorithm, and hardware co-design for simulations of relevance to the HEP mission. This community whitepaper is an attempt to bring this exciting and yet challenging area of research to the spotlight, and to elaborate on what the promises, requirements, challenges, and potential solutions are over the next decade and beyond.

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Section: B Hep Programming Needsmentioning

confidence: 99%

Quantum Simulation for High Energy Physics

Bauer¹,

Davoudi²,

Balantekin³

et al. 2022

Preprint

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“…Nevertheless, one may for instance apply product formulae [17][18][19] to implement the oracle with gate complexities that, for intermediate-scale systems, can be considerably smaller than for block-encoding oracles [6]. Furthermore, the real-time evolution oracle naturally arises in hybrid analogue-digital platforms [20][21][22], for which QSP schemes have already been studied [23].…”

Section: Introductionmentioning

confidence: 99%

Fourier-based quantum signal processing

Silva¹,

Borges²,

Aolita³

2022

Preprint

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Implementing general functions of operators is a powerful tool in quantum computation. It can be used as the basis for a variety of quantum algorithms including matrix inversion, real and imaginary-time evolution, and matrix powers. Quantum signal processing is the state of the art for this aim, assuming that the operator to be transformed is given as a block of a unitary matrix acting on an enlarged Hilbert space. Here we present an algorithm for Hermitian-operator function design from an oracle given by the unitary evolution with respect to that operator at a fixed time. Our algorithm implements a Fourier approximation of the target function based on the iteration of a basic sequence of single-qubit gates, for which we prove the expressibility. In addition, we present an efficient classical algorithm for calculating its parameters from the Fourier series coefficients. Our algorithm uses only one qubit ancilla regardless the degree of the approximating series. This contrasts with previous proposals, which required an ancillary register of size growing with the expansion degree. Our methods are compatible with Trotterised Hamiltonian simulations schemes and hybrid digital-analog approaches.

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“…In the electroweak sector, and of particular importance in extreme astrophysical environments, where neutrino-neutrino interactions can be significant, the dynamics of coherent collective flavor oscillations of neutrinos can be mapped to the Heisenberg model [75][76][77][78][79][80][81][82]. Due to this wide applicability, a number of methods for quantum simulation of the Heisenberg model have been developed, including digital approaches [83,84], hybrid digital-analog approaches [85], analog simulation on trapped ions [86], and analog simulation on Rydberg atoms using dipole-dipole interactions [87].…”

Section: Introductionmentioning

confidence: 99%

Floquet Engineering Heisenberg from Ising Using Constant Drive Fields for Quantum Simulation

Ciavarella¹,

Caspar²,

Singh³

et al. 2022

Preprint

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The time-evolution of an Ising model with large driving fields over discrete time intervals is shown to be reproduced by an effective XXZ-Heisenberg model at leading order in the inverse field strength. For specific orientations of the drive field, the dynamics of the XXX-Heisenberg model is reproduced. These approximate equivalences, valid above a critical driving field strength set by dynamical phase transitions in the Ising model, are expected to enable quantum devices that natively evolve qubits according to the Ising model to simulate more complex systems.

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Digital-Analog Quantum Simulations Using the Cross-Resonance Effect

Cited by 25 publications

References 34 publications

Quantum Simulation for High Energy Physics

Quantum Simulation for High Energy Physics

Fourier-based quantum signal processing

Floquet Engineering Heisenberg from Ising Using Constant Drive Fields for Quantum Simulation

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