Name
Hybrid Monte Carlo Pauli Propagation estimate of the OLE signal for operator_loschmidt_echo_56x1488 at sc=0.15
Circuit
operator_loschmidt_echo_56x1488
Observable value
0.1867
Error bound (low)
No response
Error bound (high)
No response
Method
Hybrid Monte Carlo Pauli Propagation
Method proof
The resulting signal with statistical error bars is:
$$
f_{\delta=0.3} = 0.187 \pm 0.006
$$
Hybrid Monte Carlo Pauli Propagation, Heisenberg picture, cache size 500M Pauli terms, minimum absolute coefficient 1e-7, 800 Monte Carlo samples. The OLE signal is reconstructed from the diagonal (P = P') approximation of the commutator moments up to 20th order in the perturbation strength δ.
See Algorithmiq's model description and theory for details and applications.
Please see the attached document for the method proof. This submission reports the Hybrid Monte Carlo Pauli Propagation counterpart at the scattering coefficient sc=0.15. The showcased value is the OLE signal at δ=0.3 (perturbation V_δ = e^{−iδG}, G = Σ_{q∈V_P} X_q), reconstructed from the diagonal approximation of the commutator moments up to 20th order in δ, averaged over 800 Monte Carlo samples.
one-page-summary-hybridMC-56x1488.pdf
Quantum runtime (seconds)
No response
Classical runtime (seconds)
2100000
Compute resources (quantum)
No response
Compute resources (classical)
Intel(R) Xeon(R) Platinum 8168 CPU @ 2.70GHz, 32-vCPU / ~334 GB RAM, 16 nodes in total.
Notes
Average propagation time ≈ 2700 s per Monte Carlo sample, average memory ≈ 94 GB per sample; total CPU time over the 800 samples ≈ 2.1×10⁶ s (samples run in parallel across the cluster).
Authors
No response
Institutions
Algorithmiq, EPFL
Name
Hybrid Monte Carlo Pauli Propagation estimate of the OLE signal for
operator_loschmidt_echo_56x1488atsc=0.15Circuit
operator_loschmidt_echo_56x1488
Observable value
0.1867
Error bound (low)
No response
Error bound (high)
No response
Method
Hybrid Monte Carlo Pauli Propagation
Method proof
The resulting signal with statistical error bars is:
$$
f_{\delta=0.3} = 0.187 \pm 0.006
$$
Hybrid Monte Carlo Pauli Propagation, Heisenberg picture, cache size 500M Pauli terms, minimum absolute coefficient
1e-7, 800 Monte Carlo samples. The OLE signal is reconstructed from the diagonal (P = P') approximation of the commutator moments up to 20th order in the perturbation strengthδ.See Algorithmiq's model description and theory for details and applications.
Please see the attached document for the method proof. This submission reports the Hybrid Monte Carlo Pauli Propagation counterpart at the scattering coefficient
sc=0.15. The showcased value is the OLE signal atδ=0.3(perturbationV_δ = e^{−iδG},G = Σ_{q∈V_P} X_q), reconstructed from the diagonal approximation of the commutator moments up to 20th order inδ, averaged over 800 Monte Carlo samples.one-page-summary-hybridMC-56x1488.pdf
Quantum runtime (seconds)
No response
Classical runtime (seconds)
2100000
Compute resources (quantum)
No response
Compute resources (classical)
Intel(R) Xeon(R) Platinum 8168 CPU @ 2.70GHz, 32-vCPU / ~334 GB RAM, 16 nodes in total.
Notes
Average propagation time ≈ 2700 s per Monte Carlo sample, average memory ≈ 94 GB per sample; total CPU time over the 800 samples ≈ 2.1×10⁶ s (samples run in parallel across the cluster).
Authors
No response
Institutions
Algorithmiq, EPFL