• Abstract Decoherence of quantum hardware is currently limiting its practical applications. • At the same time, classical algorithms for simulating quantum circuits have progressed substantially. • Here, we demonstrate a hybrid framework that integrates classical simulations with quantum hardware to improve the computation of an observable’s expectation value by reducing the quantum circuit depth. • In this framework, a quantum circuit is partitioned into two subcircuits: one that describes the backpropagated Heisenberg evolution of an observable, executed on a classical computer, while the other is a Schrödinger evolution run on quantum processors. • The overall effect is to reduce the depths of the circuits executed on quantum devices and enable the recovery of expectation values at intermediate times throughout the classically backpropagated circuit, trading this with classical overhead and an increased number of circuit executions. • We demonstrate the effectiveness of this method on a Hamiltonian simulation problem, achieving more accurate expectation value estimates compared to using quantum hardware alone.
Article Summaries:
- Researchers have introduced a hybrid quantum‑classical method that shortens the depth of quantum circuits while improving the accuracy of observable measurements. The technique splits a target circuit into two parts: a classically simulated back‑propagation of the observable in the Heisenberg picture, and a conventional Schrödinger‑evolution run on a quantum processor. By executing only the shallow quantum subcircuit, the approach reduces hardware noise and allows extraction of expectation values at intermediate times, at the cost of additional classical computation and more circuit repetitions. Tests on a Hamiltonian‑simulation benchmark show that the hybrid scheme yields more accurate expectation values than using the quantum device alone.
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