Hamiltonian simulation of minimal holographic sparsified SYK model

Journal Article · Tue Feb 04 00:00:00 EST 2025 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2025.116815· OSTI ID:2511162

Jha, Raghav G. ^[1]

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1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

The circuit complexity for Hamiltonian simulation of the sparsified SYK model with N Majorana fermions and q = 4 (quartic interactions), which retains holographic features (referred to as ‘minimal holographic sparsified SYK’) with k << N³ / 24 (where k is the total number of interaction terms times 1/N) using the second-order Trotter method and Jordan-Wigner encoding is found to be $$\tilde{\mathscr{O}}$$ (k^α N^3/2 log N( $$\mathscr{J}t$$)^3/2 ε^-1/2 where t is the simulation time, ε is the desired error in the implementation of the unitary U = exp(-iHt) measured by the operator norm, $$\mathscr{J}$$ is the disorder strength, and constant α < 1. This complexity implies that with less than a hundred logical qubits and about 106 gates, it might be possible to achieve an advantage in this model and simulate real-time dynamics.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC05-06OR23177; SC0012704
• OSTI ID: 2511162
• Alternate ID(s): OSTI ID: 2530596
• Report Number(s): DOE/OR/23177-7456; JLAB-THY--24-4027; arXiv:2404.14784
• Journal Information: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 1012; ISSN 0550-3213
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS