One-clean-qubit spectroscopy of simulated Kitaev chains
Abstract
Spin qubits in gate-defined quantum dots provide a highly programmable platform for simulating condensed-matter phenomena. In this work, we introduce a digital-analog quantum simulation protocol for extracting the single-particle spectrum of a Kitaev chain. The Kitaev chain is mapped onto qubits via the standard Jordan-Wigner transformation and implemented as a drive-engineered, N-site transverse-field Ising model (TFIM) in a linear array of quantum dots. We show that periodically toggling the analog-simulation parameters conditioned on the state of a control qubit causes the dynamics of this control qubit to stroboscopically match the output of the one-clean-qubit (DQC1) model of computation, thereby yielding the full spectrum of the TFIM from measurements of a single spin. Classical postprocessing can then be used to isolate the N single-particle energies of the Kitaev chain from the 2N eigenenergies of the TFIM. By varying the strength of the Rabi drive used to engineer the synthetic transverse field, the spectral signature of the crossover from the trivial to the topological regime of the Kitaev chain could then be mapped out with measurements of just one spin.
Related
- Quantum Gates Built on a Spin Qubit and a Kitaev Parity Qubit
- Reopening the one clean qubit case of a semi-grand challenge
- Renormalization group analysis for bosonization coefficients in half-odd-integer Kitaev spin chains
- Andreev exceptional points in Josephson junctions formed by minimal Kitaev chains
- Evolution from Kitaev to XXZ spin chains via distortion: Application to BaCo2V2O8
BibTeX
@misc{mcintyre2026onecleanqubit,
title = {{One-clean-qubit spectroscopy of simulated Kitaev chains}},
author = {Z. M. McIntyre and Daniel Loss},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11513},
eprint = {2609.11513},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11513},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - One-clean-qubit spectroscopy of simulated Kitaev chains
AU - Z. M. McIntyre
AU - Daniel Loss
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11513
UR - https://arxiv.org/abs/2609.11513
AB - Spin qubits in gate-defined quantum dots provide a highly programmable platform for simulating condensed-matter phenomena. In this work, we introduce a digital-analog quantum simulation protocol for extracting the single-particle spectrum of a Kitaev chain. The Kitaev chain is mapped onto qubits via the standard Jordan-Wigner transformation and implemented as a drive-engineered, N-site transverse-field Ising model (TFIM) in a linear array of quantum dots. We show that periodically toggling the analog-simulation parameters conditioned on the state of a control qubit causes the dynamics of this control qubit to stroboscopically match the output of the one-clean-qubit (DQC1) model of computation, thereby yielding the full spectrum of the TFIM from measurements of a single spin. Classical postprocessing can then be used to isolate the N single-particle energies of the Kitaev chain from the 2^N eigenenergies of the TFIM. By varying the strength of the Rabi drive used to engineer the synthetic transverse field, the spectral signature of the crossover from the trivial to the topological regime of the Kitaev chain could then be mapped out with measurements of just one spin.
ER -