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.
20+12 pages. 13 figures
References in corpus (14)
- Quantum Zeno dynamics: mathematical and physical aspects
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Engineered Dissipation for Quantum Information Science
- Dynamics of simultaneously measured non-commuting observables
- Composite quantum collision models
- Dynamics of Transmon Ionization
- Optimized pulse shapes for a resonator-induced phase gate
- Quantum Computing in Plato's Cave
- Stroboscopic qubit measurement with squeezed illumination
- Quantum Bayesian approach to circuit QED measurement with moderate bandwidth
- Combined Dissipative and Hamiltonian Confinement of Cat Qubits
- Entanglement genesis under continuous parity measurement
- Continuous measurements for control of superconducting quantum circuits
- 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