Complementarity relations of a delayed-choice quantum eraser in a quantum circuit

TL;DR

This paper introduces a quantum circuit simulating a delayed-choice quantum eraser with adjustable entanglement, exploring complementarity relations through experiments on IBM Quantum computers.

Contribution

It presents a novel quantum circuit model for delayed-choice quantum erasers with tunable entanglement, enabling new tests of complementarity relations in quantum mechanics.

Findings

Verified theoretical predictions using IBM Quantum hardware.

Demonstrated the delayed measurement of which-way information.

Explored entropic uncertainty and triality relations in the context of quantum erasers.

Abstract

We propose a quantum circuit that emulates a delayed-choice quantum eraser via bipartite entanglement with the extension that the degree of entanglement between the two paired quantons is adjustable. This provides a broader setting to test complementarity relations between interference visibility and which-way distinguishability in the scenario that the which-way information is obtained through entanglement without direct contact with the quantum state for interference. The visibility-distinguishability relations are investigated from three perspectives that differ in how the which-way information is taken into consideration. These complementarity relations can be understood in terms of entropic uncertainty relations in the information-theoretic framework and the triality relation that incorporates single-particle and bipartite properties. We then perform experiments on the quantum computers provided by the IBM Quantum platform to verify the theoretical predictions. We also apply the delay gate to delay the measurement of the which-way information to affirm that the measurement can be made truly in the "delayed-choice" manner.