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Prevention of Dissipation with Two Qubits Based on Quantun Zeno Effect

Ping Chen

Published Jan 1, 1999• 0 citations
OpenAlex

Abstract

This paper explains the operation that can make a quantum system collapse into the intial state. The operation can be regarded as measurement in quantum zeno effect. A scheme which is simple and feasible to implement theoretically is proposed by even times of quantum cotrolled NOT opertion.

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We apply the multiple, equally spaced in time, weak measurements, to the two-qubit entangled system to decrease the rate of its decoherence, i.e., to prevent the decrease of the off-diagonal elements. The scheme is similar to the Quantum Zeno Effect, but differs by the frequency of the measurements. While the conventional Quantum Zeno Effect assumes rapid measurements which mitigates the Hamiltonian dynamics, the proposed method makes use of entanglement between the qubits to decrease the decoherence rate. We will show that it allows us to partially suppress the decoherence in the case of Lindblad evolution.
The time evolution of some quantum states can be slowed down or even stopped under frequent measurements. This is the usual quantum Zeno effect. Here, we report an operator quantum Zeno effect, in which the evolution of some physical observables is slowed down through measurements even though the quantum state changes randomly with time. Based on the operator quantum Zeno effect, we show how we can protect quantum information from decoherence with two-qubit measurements, realizable with noisy two-qubit interactions.
The Zeno effect occurs in quantum systems when a very strong measurement is applied, which can alter the dynamics in non-trivial ways. Despite being dissipative, the dynamics stay coherent within any degenerate subspaces of the measurement. Here we show that such a measurement can turn a single-qubit operation into a two- or multi-qubit entangling gate, even in a non-interacting system. We demonstrate this gate between two effectively non-interacting transmon qubits. Our Zeno gate works by imparting a geometric phase on the system, conditioned on it lying within a particular non-local subspace.
Quantum Zeno effect is a significant tool in quantum manipulating and computing. We propose its observation in superconducting phase qubit with two experimentally feasible measurement schemes. The conventional measurement method is used to achieve the proposed pulse and continuous readout of the qubit state, which are analyzed by projection assumption and Monte Carlo wavefunction simulation, respectively. Our scheme gives a direct implementation of quantum Zeno effect in a superconducting phase qubit.
The quantum Zeno effect lies in the suppression of the quantum system’s evolution due to frequent successive measurements, which leads to the inhibition of transitions between quantum states. The paper presumes that a qubit can be found in an excited state |1) or in the non-excited state |0). The work aims to investigate how the quantum Zeno effect can be applied to the stable excited state of a qubit to prevent its spontaneous transition to the state |0). An As atom is exploited as the physical realization of a qubit, and it is suggested to register its quantum state using the scanning probe microscopy methods. The work demonstrates the condition necessary for the occurrence of the quantum Zeno effect in the system under study. Calculation results show that the diameter of the excited-state As atom orbit is 1.5 times larger than the diameter of an unexcited atom orbit. This ratio serves as an experimental criterion for identifying the state of a qubit.