Nonreciprocal Signal Routing in an Active Quantum Network

Abstract

As superconductor quantum technologies are moving towards large-scale integrated circuits, a robust and flexible approach to routing photons at the quantum level becomes a critical problem. Active circuits, which contain parametrically driven elements selectively embedded in the circuit offer a viable solution. Here, we present a general strategy for routing nonreciprocally quantum signals between two sites of a given lattice of oscillators, implementable with existing superconducting circuit components. Our approach makes use of a dual lattice of overdamped oscillators linking the nodes of the main lattice. Solutions for spatially selective driving of the lattice elements can be found, which optimally balance coherent and dissipative hopping of microwave photons to nonreciprocally route signals between two given nodes. In certain lattices these optimal solutions are obtained at the exceptional point of the dynamical matrix of the network. We also demonstrate that signal and noise transmission characteristics can be separately optimized.

19 pages, 9 figures

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• Constant-overhead quantum error correction with thin planar connectivity
• A Unidirectional On-Chip Photonic Interface for Superconducting Circuits
• Optimized heat transfer at exceptional points in quantum circuits
• Topological input-output theory for directional amplification
• Charge-Noise Insensitive Chiral Photonic Interface for Waveguide Circuit QED
• Optimized Steering: Quantum State Engineering and Exceptional Points
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Canonical circuit quantization with linear nonreciprocal devices
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• On-demand driven dissipation for cavity reset and cooling
• Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Nearly quantum-limited Josephson-junction Frequency Comb synthesizer
• Non-Hermitian unidirectional routing of photonic qubits
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Multiterminal Nonreciprocal Routing in an Optomechanical Plaquette via Synthetic Magnetism
• Nonreciprocal microwave transmission based on Gebhard-Ruckenstein hopping
• Chirality, Nonreciprocity and Symmetries for a Giant Atom