Efficient tensor network simulation of IBM's largest quantum processors
We show how quantum-inspired 2d tensor networks can be used to efficiently
and accurately simulate the largest quantum processors from IBM, namely Eagle
(127 qubits), Osprey (433 qubits) and Condor (1121 qubits). We simulate the
dynamics of a complex quantum many-body system -- specifically, the kicked
Ising experiment considered recently by IBM in Nature 618, p. 500-505 (2023) --
using graph-based Projected Entangled Pair States (gPEPS), which was proposed
by some of us in PRB 99, 195105 (2019). Our results show that simple tensor
updates are already sufficient to achieve very large unprecedented accuracy
with remarkably low computational resources for this model. Apart from
simulating the original experiment for 127 qubits, we also extend our results
to 433 and 1121 qubits, and for evolution times around 8 times longer, thus
setting a benchmark for the newest IBM quantum machines. We also report
accurate simulations for infinitely-many qubits. Our results show that gPEPS
are a natural tool to efficiently simulate quantum computers with an underlying
lattice-based qubit connectivity, such as all quantum processors based on
superconducting qubits.
Siddhartha Patra Saeed S. Jahromi Sukhbinder Singh Roman Orus