Efficient tensor network simulation of ibm's eagle kicked ising experiment

J Tindall, M Fishman, EM Stoudenmire, D Sels - Prx quantum, 2024 - APS
We report an accurate and efficient classical simulation of a kicked Ising quantum system on
the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit …

Exponentially tighter bounds on limitations of quantum error mitigation

Y Quek, D Stilck França, S Khatri, JJ Meyer, J Eisert - Nature Physics, 2024 - nature.com
Quantum error mitigation has been proposed as a means to combat unwanted and
unavoidable errors in near-term quantum computing without the heavy resource overheads …

Covariant quantum kernels for data with group structure

JR Glick, TP Gujarati, AD Corcoles, Y Kim, A Kandala… - Nature Physics, 2024 - nature.com
The use of kernel functions is a common technique to extract important features from
datasets. A quantum computer can be used to estimate kernel entries as transition …

Group-theoretic error mitigation enabled by classical shadows and symmetries

A Zhao, A Miyake - npj Quantum Information, 2024 - nature.com
Estimating expectation values is a key subroutine in quantum algorithms. Near-term
implementations face two major challenges: a limited number of samples required to learn a …

Absence of barren plateaus in finite local-depth circuits with long-range entanglement

HK Zhang, S Liu, SX Zhang - Physical Review Letters, 2024 - APS
Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …

Classical simulation of peaked shallow quantum circuits

S Bravyi, D Gosset, Y Liu - Proceedings of the 56th Annual ACM …, 2024 - dl.acm.org
An n-qubit quantum circuit is said to be peaked if it has an output probability that is at least
inverse-polynomially large as a function of n. We describe a classical algorithm with …

Hardware-efficient ansatz without barren plateaus in any depth

CY Park, M Kang, J Huh - arXiv preprint arXiv:2403.04844, 2024 - arxiv.org
Variational quantum circuits have recently gained much interest due to their relevance in
real-world applications, such as combinatorial optimizations, quantum simulations, and …

Noise-induced shallow circuits and absence of barren plateaus

AA Mele, A Angrisani, S Ghosh, S Khatri… - arXiv preprint arXiv …, 2024 - arxiv.org
Motivated by realistic hardware considerations of the pre-fault-tolerant era, we
comprehensively study the impact of uncorrected noise on quantum circuits. We first show …

Heisenberg-limited metrology with perturbing interactions

C Yin, A Lucas - Quantum, 2024 - quantum-journal.org
We show that it is possible to perform Heisenberg-limited metrology on GHZ-like states, in
the presence of generic spatially local, possibly strong interactions during the measurement …

Observable-Driven Speed-ups in Quantum Simulations

W Yu, J Xu, Q Zhao - arXiv preprint arXiv:2407.14497, 2024 - arxiv.org
As quantum technology advances, quantum simulation becomes increasingly promising,
with significant implications for quantum many-body physics and quantum chemistry …