Continuous monitoring measured signals bounded by past and future conditions in enlarged quantum systems
arXiv:1905.01764 · doi:10.1007/s11128-019-2314-6
Abstract
In a quantum system that is bounded by past and future conditions, weak continuous monitoring forward-evolving and backward-evolving quantum states are usually carried out separately. Therefore, measured signals at a given time t cannot be monitored continuously. Here, we propose an enlarged-quantum-system method to combine these two processes together. Therein, we introduce an enlarged quantum state that contains both the forward- and backward-evolving quantum states. The enlarged state is governed by an enlarged master equation and propagates one-way forward in time. As a result, the measured signals at time t can be monitored continuously and can provide advantages in the signals amplification and signal processing techniques. Our proposal can be implemented on various physical systems, such as superconducting circuits, NMR systems, ion-traps, quantum photonics, and among others.
arXiv comment9 pages, 5 figures
References in corpus (37)
- Charge insensitive qubit design derived from the Cooper pair box
- Quantum Simulation
- Coupling Superconducting Qubits via a Cavity Bus
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- A Straightforward Introduction to Continuous Quantum Measurement
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Observing single quantum trajectories of a superconducting qubit
- Mapping the optimal route between two quantum states
- Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
- Past quantum states
- Causal and causally separable processes
- Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
- Quantum Averages of Weak Values
- Multiple-time states and multiple-time measurements in quantum mechanics
- Weak Measurements Beyond the Aharonov-Albert-Vaidman Formalism
- Prediction and retrodiction for a continuously monitored superconducting qubit
- On a Time Symmetric Formulation of Quantum Mechanics
- Observing interferences between past and future quantum states in resonance fluorescence
- Weak value beyond conditional expectation value of the pointer readings
- Quantum state reconstruction via continuous measurement
- Recent progress in quantum simulation using superconducting circuits
- All-order evaluation of weak measurements: --- The cases of an operator which satisfies the property ---
- Weak Values with Decoherence
- Arrow of Time for Continuous Quantum Measurement
- Connecting processes with indefinite causal order and multi-time quantum states
- Time Reversal and Charge Conjugation in an Embedding Quantum Simulator
- Correlations of the time dependent signal and the state of a continuously monitored quantum system
- Embedding Quantum Simulators for Quantum Computation of Entanglement
- Homodyne monitoring of post-selected decay
- The "Majoranon" and how to realize it in a tabletop experiment
- Optical simulation of Majorana physics
- Efficient Measurement of Multiparticle Entanglement with Embedding Quantum Simulator
- Quantum Simulation of Noncausal Kinematic Transformations
- Measuring Entanglement in a Photonic Embedding Quantum Simulator
- Past observable dynamics of a continuously monitored qubit
- Entanglement Measures in Ion-Trap Quantum Simulators without Full Tomography
- Improving direct state measurements by using rebits in real enlarged Hilbert spaces