A Multi-Qubit Quantum Gate Using the Zeno Effect
arXiv:2211.05988 · doi:10.22331/q-2023-09-07-1100
Abstract
The Zeno effect, in which repeated observation freezes the dynamics of a quantum system, stands as an iconic oddity of quantum mechanics. When a measurement is unable to distinguish between states in a subspace, the dynamics within that subspace can be profoundly altered, leading to non-trivial behavior. Here we show that such a measurement can turn a non-interacting system with only single-qubit control into a two- or multi-qubit entangling gate, which we call a Zeno gate. The gate works by imparting a geometric phase on the system, conditioned on it lying within a particular nonlocal subspace. We derive simple closed-form expressions for the gate fidelity under a number of non-idealities and show that the gate is viable for implementation in circuit and cavity QED systems. More specifically, we illustrate the functioning of the gate via dispersive readout in both the Markovian and non-Markovian readout regimes, and derive conditions for longitudinal readout to ideally realize the gate.
arXiv comment20+12 pages. 13 figures
References in corpus (54)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Circuit Quantum Electrodynamics
- Introduction to Quantum Noise, Measurement and Amplification
- Dynamical suppression of decoherence in two-state quantum systems
- Demonstration of a neutral atom controlled-NOT quantum gate
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Efficient high-fidelity quantum computation using matter qubits and linear optics
- Observing single quantum trajectories of a superconducting qubit
- Quantum Zeno dynamics: mathematical and physical aspects
- Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
- To catch and reverse a quantum jump mid-flight
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
- Quantum feedback: theory, experiments, and applications
- Quantum collision models: open system dynamics from repeated interactions
- Exponential suppression of bit-flips in a qubit encoded in an oscillator
- Engineered Dissipation for Quantum Information Science
- Measurement-induced state transitions in a superconducting qubit: Beyond the rotating wave approximation
- Fast quantum non-demolition readout from longitudinal qubit-oscillator interaction
- Experimental realization of quantum zeno dynamics
- Repetition Cat Qubits for Fault-Tolerant Quantum Computation
- Dynamics of simultaneously measured non-commuting observables
- Experimental demonstration of a resonator-induced phase gate in a multi-qubit circuit QED system
- Ideal Projective Measurements Have Infinite Resource Costs
- Composite quantum collision models
- Quantum Zeno dynamics of a field in a cavity
- Dynamics of Transmon Ionization
- Optimized pulse shapes for a resonator-induced phase gate
- Quantum Computing in Plato's Cave
- Quantum Zeno effect appears in stages
- Stroboscopic qubit measurement with squeezed illumination
- Advances in decoherence control
- Lifetime renormalization of driven weakly anharmonic superconducting qubits: II. The readout problem
- Quantum Bayesian approach to circuit QED measurement with moderate bandwidth
- Combined Dissipative and Hamiltonian Confinement of Cat Qubits
- Quantum non-demolition dispersive readout of a superconducting artificial atom using large photon numbers
- Generalized Adiabatic Theorem and Strong-Coupling Limits
- Entanglement genesis under continuous parity measurement
- Demonstration of universal control between non-interacting qubits using the Quantum Zeno effect
- Lifetime renormalization of weakly anharmonic superconducting qubits: I. Role of number non-conserving terms
- Measuring Fluorescence to Track a Quantum Emitter's State: A Theory Review
- Quantum computing with incoherent resources and quantum jumps
- Quantum Zeno effect with partial measurement and noisy dynamics
- Quantum rifling: protecting a qubit from measurement back-action
- Non-Abelian Phases from a Quantum Zeno Dynamics
- Continuous measurements for control of superconducting quantum circuits
- Entanglement-Preserving Limit Cycles from Sequential Quantum Measurements and Feedback
- Continuous measurement of a qudit using dispersively coupled radiation
- Remote Entanglement by Coherent Multiplication of Concurrent Quantum Signals
- Entanglement of a pair of quantum emitters via continuous fluorescence measurements: a tutorial
- Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator
Cited by in corpus (4)
- Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
- Going Beyond Gadgets: The Importance of Scalability for Analogue Quantum Simulators
- Cavity polariton blockade for non-local entangling gates with trapped atoms
- Eluding Zeno effect via dephasing and detuning