Entanglement and complexity of interacting qubits subject to asymmetric noise

Abstract

The simulation complexity of predicting the time evolution of delocalized many-body quantum systems has attracted much recent interest, and simulations of such systems in real quantum hardware are promising routes to demonstrating a quantum advantage over classical machines. In these proposals, random noise is an obstacle that must be overcome for a faithful simulation, and a single error event can be enough to drive the system to a classically trivial state. We argue that this need not always be the case, and consider a modification to a leading quantum sampling problem-time evolution in an interacting Bose-Hubbard chain of transmon qubits [Neill et al., Science 360, 195 (2018)]-where each site in the chain has a driven coupling to a lossy cavity and particle number is no longer conserved. With cavity noise (but not qubit error) now included in the problem definition, the resulting quantum dynamics are still complex and highly nontrivial. We argue that this problem is harder to simulate than the isolated chain, and that it can achieve volume-law entanglement even in the strong noise limit, likely persisting up to system sizes beyond the scope of classical simulation. Further, we show that the metrics which suggest classical intractability for the isolated chain point to similar conclusions in the noisy case. These results suggest that quantum sampling problems including nontrivial noise could be good candidates for demonstrating a quantum advantage in near-term hardware.

Stable quantum-correlated many-body states through engineered dissipation

“…5). With the introduction of more-complex system-bath couplings and development of error-mitigation schemes for nonintegrable models, future applications of engineered dissipation toward open-system quantum simulation ( 47 ), quantum transport ( 48 ), and stabilization of topological quantum states ( 49 – 51 ) will become possibilities.…”

Autonomous stabilization with programmable stabilized state

“…We further demonstrate a parity switching capability between the Bell pairs with fast stabilization time constants (< 2 µs). We believe such freedom in choosing stabilized states will inspire generalization to autonomous stabilization of larger systems, large-scale many-body entanglement [3], remote entanglement [26], density matrix exponentiation [20,21], and new AQEC logical codewords in the future.…”

“…This provides an extra route to state preparation. In a multiqubit-reservoir coupled system, dissipation engineering can enhance the capabilities of quantum simulation, as predicting the final state of a driven dissipative quantum system is more complex than its unitary counterpart [3] when all local qubit and reservoir interactions are simultaneously turned on. Dissipation stabilization also inspires autonomous quantum error correction codes (AQEC) [4][5][6][7][8][9] that achieve hardware efficiency in the experiment.…”

Automated detection of symmetry-protected subspaces in quantum simulations

“…which measures the distance between two probability distributions, and use the following equation from [28] as a simulation's fidelity, where P IRN is the incoherent random noise probability distribution…”