Quantum Fluctuations in Electrical Multiport Linear Systems
arXiv:2110.14604 · doi:10.1103/PhysRevB.106.054504
Abstract
We present an extension of the classical Nyquist-Thevenin theorem for multiport classical electrical networks by Twiss to the quantum case. Conversely, we extend the quantum fluctuation-dissipation result for one port electrical systems to the multiport case, both reciprocal and nonreciprocal. Our results are extended to lossy systems by depicting resistive components as continuous limits of purely lossless lumped-element networks. Simple circuit examples are analyzed, including a linear system lacking a direct impedance representation.
arXiv comment11 pages. 5 figures
References in corpus (27)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Introduction to Quantum Noise, Measurement and Amplification
- Strong quantum computational advantage using a superconducting quantum processor
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Black-box superconducting circuit quantization
- Introduction to Quantum Electromagnetic Circuits
- Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
- The reconfigurable Josephson circulator/directional amplifier
- Mechanical On-Chip Microwave Circulator
- On-chip superconducting microwave circulator from synthetic rotation
- Widely tunable on-chip microwave circulator for superconducting quantum circuits
- On-Chip Microwave Quantum Hall Circulator
- Single qubit gates in frequency-crowded transmon systems
- Hall Effect Gyrators and Circulators
- Blackbox Quantization of Superconducting Circuits using exact Impedance Synthesis
- Breaking time-reversal symmetry with a superconducting flux capacitor
- Quantum Networks in Divergence-free Circuit QED
- Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit
- Fluctuation-Dissipation Relations of a Tunnel Junction Driven by a Quantum Circuit
- Dual approach to circuit quantization using loop charges
- Simple Impedance Response Formulas for the Dispersive Interaction Rates in the Effective Hamiltonians of Low Anharmonicity Superconducting Qubits
- Perturbative fluctuation dissipation relation for non-equilibrium finite frequency noise in quantum circuits
- Multiport Impedance Quantization
- Canonical circuit quantization with linear nonreciprocal devices
- Quadratic Quantum Hamiltonians: General Canonical Transformation to a Normal Form
- Algebraic canonical quantization of lumped superconducting networks
- Canonical quantisation of telegrapher's equations coupled by ideal nonreciprocal elements