Stabilizing multiple topological fermions on a quantum computer

Koh, Jin; Tai, Tommy; Phee, Yong Han; Ng, Wei En; Lee, Ching Hua

doi:10.1038/s41534-022-00527-1

Cited by 25 publications

(26 citation statements)

References 68 publications

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“…The rapid development of hardware and algorithms in universal quantum computation also opens up the possibility of implementing our YLES measurement protocol in quantum computers via ancilla-based methods [88][89][90][91]. Moreover, our MPS implementation, which is related to mid-circuit measurements [92][93][94][95], provides an approach to improve the current ancilla-based methods for dynamically simulating various non-Hermitian many-body phenomena [96][97][98][99][100][101][102][103] and unconventional non-Hermitian topology [104][105][106][107][108][109][110][111][112][113][114][115][116][117], on quantum circuits.…”

Section: (B) Upon Obtaining γ ∞mentioning

confidence: 99%

Proposal for observing Yang-Lee criticality in Rydberg atomic arrays

Shen¹,

Chen²,

Qin³

et al. 2023

Preprint

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Yang-Lee edge singularities (YLES) are the edges of the partition function zeros of an interacting spin model in the space of complex control parameters. They play an important role in understanding non-Hermitian phase transitions in many-body physics, as well as characterizing the corresponding non-unitary criticality. Even though such partition function zeroes have been measured in dynamical experiments where time acts as the imaginary control field, experimentally demonstrating such YLES criticality with a physical imaginary field has remained elusive due to the difficulty of physically realizing non-Hermitian many-body models. We provide a protocol for observing the YLES by detecting kinked dynamical magnetization responses due to broken PT symmetry, thus enabling the physical probing of non-unitary phase transitions in non-equilibrium settings. In particular, scaling analyses based on our non-unitary time evolution circuit with matrix product states (tMPS) accurately recover the exponents uniquely associated with the corresponding non-unitary CFT. We provide an explicit proposal for observing YLES criticality in Floquet quenched Rydberg atomic arrays with laser-induced loss, which paves the way towards an universal platform for simulating non-Hermitian many-body dynamical phenomena.

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Section: (B) Upon Obtaining γ ∞mentioning

confidence: 99%

Proposal for observing Yang-Lee criticality in Rydberg atomic arrays

Shen¹,

Chen²,

Qin³

et al. 2023

Preprint

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show abstract

“…Realization of topological phases hosting Majorana modes in bosonic multi-qubit devices was first envisioned few decades ago [18], with subsequent theoretical developments [19,20]. Since then signatures of topological modes were detected in photonic experiments [21][22][23] and programmable digital quantum information processors [24][25][26][27][28][29][30]. These devices are limited to non-equilibrium settings and show long-lived signatures of topological modes [31,32].…”

mentioning

confidence: 99%

Observing and braiding topological Majorana modes on programmable quantum simulators

Harle¹,

Shtanko²,

Movassagh³

2022

Preprint

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Despite its great promise of fault tolerance, the simplest demonstration of topological quantum computation remains elusive. Majorana modes are the primitive building blocks and their experimental realization on various platforms is yet to be confirmed. This work presents an experimental and theoretical framework for the space-resolved detection and exchange of Majorana modes on programmable (noisy) quantum hardware. We have implemented our framework by performing a series of measurements on a driven Ising-type quantum spin model with tunable interactions, which confirm the existence of the topological Majorana modes and distinguishes them from trivial modes. Lastly, we propose and demonstrate a novel technique for braiding the Majorana modes which results in the correct statistics but decreases the magnitude of the signal. The present work may be seen as the first reliable observation of Majorana modes on existing quantum hardware.

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“…IBM-Q currently grants access up to 5-qubit quantum machines based on superconducting transmon qubits which are controllable using Qiskit, an open-source software development kit (Aleksandrowicz et al, 2019;Andersson et al, 2020). These machines have been successfully utilized in simulating spin models (Cervera-Lierta, 2018;Rodriguez-Vega et al, 2022), topological fermionic models (Koh et al, 2022), quantum entanglement (Choo et al, 2018;Wang et al, 2018;Cruz et al, 2019;Mooney et al, 2019;Pozzobom and Maziero, 2019), far-from-equilibrium dynamics (Zhukov et al, 2018), non-equilibrium quantum thermodynamics (Gherardini et al, 2021;Solfanelli et al, 2021), open-quantum systems (García-Pérez et al, 2020), among others. One of the future advantages of IBM-Q is the possibility to do simulation of quantum systems beyond the maximum limits of classical computer over a wide range of parameters.…”

mentioning

confidence: 99%

Experimental validation of the Kibble-Zurek mechanism on a digital quantum computer

Higuera-Quintero

Rodríguez

Quiroga

et al. 2022

Front. Quantum Sci. Technol.

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The Kibble-Zurek mechanism (KZM) captures the essential physics of nonequilibrium quantum phase transitions with symmetry breaking. KZM predicts a universal scaling power law for the defect density which is fully determined by the system’s critical exponents at equilibrium and the quenching rate. We experimentally tested the KZM for the simplest quantum case, a single qubit under the Landau-Zener evolution, on an open access IBM quantum computer (IBM-Q). We find that for this simple one-qubit model, experimental data validates the central KZM assumption of the adiabatic-impulse approximation for a well isolated qubit. Furthermore, we report on extensive IBM-Q experiments on individual qubits embedded in different circuit environments and topologies, separately elucidating the role of crosstalk between qubits and the increasing decoherence effects associated with the quantum circuit depth on the KZM predictions. Our results strongly suggest that increasing circuit depth acts as a decoherence source, producing a rapid deviation of experimental data from theoretical unitary predictions.

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Stabilizing multiple topological fermions on a quantum computer

Cited by 25 publications

References 68 publications

Proposal for observing Yang-Lee criticality in Rydberg atomic arrays

Proposal for observing Yang-Lee criticality in Rydberg atomic arrays

Observing and braiding topological Majorana modes on programmable quantum simulators

Experimental validation of the Kibble-Zurek mechanism on a digital quantum computer

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