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Publication Information
Title Hamiltonian simulation of minimal holographic sparsified SYK model
Abstract The circuit complexity for Hamiltonian simulation of the sparsified SYK model with N Majorana fermions and quartic interactions which retains holographic features (referred to as ?minimal holographic sparsified SYK?) with k = 8.7 ? N3/24 (where k is the total number of interaction terms per N) using second-order Trotter method and Jordan-Wigner encoding is found to be O(kpN2 logN(Jt)3/2??1/2) where t is the simulation time, ? is the desired error in the implemen- tation of the unitary U = exp(?iHt), J is the disorder strength, and p < 1. This complexity implies that with less than a hundred logical qubits and about 105 two-qubit or Clifford+T-gates, it will be possible to achieve an advantage in this model.
Author(s) Raghav Jha
Publication Date March 2025
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-24-4027 OSTI Number: 2530596
LANL Number: arXiv:2404.14784 Other Number: DOE/OR/23177-7456
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Nuclear Physics B
Refereed Yes
Volume 1012
Issue (2025)
Page(s) 116815
Attachments/Datasets/DOI Link
Document(s)
2404.14784v1.pdf (STI Document)
1-s2.0-S0550321325000252-main.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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