Quantum Zeno Effect of General Quantum Operations

Abstract

In this paper, we show that the quantum Zeno effect occurs for any frequent quantum measurements or operations. As a result of the Zeno effect, for non-selective measurements (or trace preserving completely positive maps), the evolution of a measurement invariant state is governed by an effective Hamiltonian defined by the measurements and the free-evolution Hamiltonian. For selective measurements, the state may change randomly with time according to measurement outcomes, while some physical quantities (operators) still evolve as the effective dynamics.

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Cited by in corpus (8)

• Quantum Zeno Dynamics from General Quantum Operations
• Geometry, robustness, and emerging unitarity in dissipation-projected dynamics
• Preparation of entangled states through Hilbert space engineering
• Quantum evolution in the stroboscopic limit of repeated measurements
• Experimental protection against evolution of states in a subspace via a super-Zeno scheme on an NMR quantum information processor
• Quantum Zeno effect generalized
• Quantum computation with noisy operations
• Bound State Internal Interactions as a Mechanism for Exponential Decay