Digital-analog quantum simulation of fermionic models

Céleri, Lucas C.; Huerga, Daniel; Albarrán-Arriagada, F.; Solano, E.; Andoin, Mikel Garcia de; Sanz, Mikel

doi:10.48550/arxiv.2103.15689

Cited by 5 publications

(6 citation statements)

References 53 publications

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“…There is a recent work that proposed a novel mapping in this direction, but the experimental realization is still an open question [41]. Also, the use of qubit lattices for the Jordan-Wigner transformation has been proposed; nevertheless, the gates number scaling is the same as that in the qubit-chain case [8].…”

Section: Three-qubit Modelmentioning

confidence: 99%

“…In DAQS, we use a continuous set of complex many-body interactions as a resource (analog blocks), offered naturally by the architecture possibilities of the quantum platform used as quantum computer. We complement it with accessible continuous sets of single-qubit operations (digital steps), providing versatility of target Hamiltonian models or algorithms [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Superconducting circuit architecture for digital-analog quantum computing

Retamal

Sanz

et al. 2022

EPJ Quantum Technol.

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We propose a superconducting circuit architecture suitable for digital-analog quantum computing (DAQC) based on an enhanced NISQ family of nearest-neighbor interactions. DAQC makes a smart use of digital steps (single qubit rotations) and analog blocks (parametrized multiqubit operations) to outperform digital quantum computing algorithms. Our design comprises a chain of superconducting charge qubits coupled by superconducting quantum interference devices (SQUIDs). Using magnetic flux control, we can activate/deactivate exchange interactions, double excitation/de-excitations, and others. As a paradigmatic example, we present an efficient simulation of an $\ell \times h$ ℓ × h fermion lattice (with $2<\ell \leq h$ 2 < ℓ ≤ h ), using only $2(2\ell +1)^{2}+24$ 2 ( 2 ℓ + 1 ) 2 + 24 analog blocks. The proposed architecture design is feasible in current experimental setups for quantum computing with superconducting circuits, opening the door to useful quantum advantage with fewer resources.

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Section: Three-qubit Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Superconducting circuit architecture for digital-analog quantum computing

Retamal

Sanz

et al. 2022

EPJ Quantum Technol.

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“…There are several unique approaches to quantum simulation; from purely digital approaches on universal quantum computers to purely analog approaches using tailor-made quantum devices. Recent work suggests that there are also a number of intermediate paradigms capable of realizing quantum simulation [2][3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

String order melting of spin-1 particle chains in superconducting transmons using optimal control

Kairys¹,

Humble²

2022

Preprint

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Utilizing optimal control to simulate a model Hamiltonian is an emerging strategy that leverages the intrinsic physics of a device with digital quantum simulation methods. Here we evaluate optimal control for probing the non-equilibrium properties of symmetry-protected topological (SPT) states simulated with superconducting hardware. Assuming a tunable transmon architecture, we cast evolution of these SPT states as a series of one-and two-site pulse optimization problems that are solved in the presence of leakage constraints. From the generated pulses, we numerical simulate time-dependent melting of the perturbed SPT string order across a six-site model with an average state infidelity of 10 −3 . The feasibility of these pulses as well as their efficient application indicate that high-fidelity simulations of string-order melting are within reach of current quantum computing systems.

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“…Several approaches have combined digital quantum logic with analog quantum evolution, especially for quantum simulation [7][8][9][10][11][12][13][14][15]. These approaches augment digital simulation methods with specialized analog evolution to extend the types of quantum states that can be prepared.…”

Section: Introductionmentioning

confidence: 99%

Parametrized Hamiltonian simulation using quantum optimal control

Kairys

Humble

2021

Phys. Rev. A

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Analog quantum simulation offers a hardware-specific approach to studying quantum dynamics, but mapping a model Hamiltonian onto the available device parameters requires matching the hardware dynamics. We introduce a paradigm for quantum Hamiltonian simulation that leverages digital decomposition techniques and optimal control to perform analog simulation. We validate this approach by constructing the optimal analog controls for a superconducting transmon device to emulate the dynamics of an extended Bose-Hubbard model. We demonstrate the role of control time, digital error, and pulse complexity, and we explore the accuracy and robustness of these controls. We conclude by discussing the opportunity for implementing this paradigm in near-term quantum devices.

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Digital-analog quantum simulation of fermionic models

Cited by 5 publications

References 53 publications

Superconducting circuit architecture for digital-analog quantum computing

Superconducting circuit architecture for digital-analog quantum computing

String order melting of spin-1 particle chains in superconducting transmons using optimal control

Parametrized Hamiltonian simulation using quantum optimal control

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