Complementarity relations of a delayed-choice quantum eraser in a quantum circuit
arXiv:2207.03946 · doi:10.1007/s11128-023-04214-8
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.
arXiv comment38 pages, 17 figures, 1 table; v3: minor revisions made, one reference added
References in corpus (22)
- Probing entanglement entropy via randomized measurements
- Experimental realization of Wheeler's delayed-choice GedankenExperiment
- A Delayed Choice Quantum Eraser
- A double-slit quantum eraser
- Duality of Quantum Coherence and Path Distinguishability
- Delayed-choice gedanken experiments and their realizations
- Relations between coherence and path information
- Proposal for a quantum delayed-choice experiment
- Equivalence of wave-particle duality to entropic uncertainty
- Complementarity and Uncertainty in Mach-Zehnder Interferometry and beyond
- Wave-particle duality: an information-based approach
- Entropic framework for wave-particle duality in multipath interferometers
- Experimental assessment of physical realism in a quantum-controlled device
- Wave-Particle Duality in N-Path Interference
- Coherence, Path-Predictability and I-Concurrence: A Triality
- Evidence of the entanglement constraint on wave-particle duality using the IBM Q quantum computer
- The 'Delayed Choice Quantum Eraser' Neither Erases Nor Delays
- The Delayed-Choice Quantum Eraser Leaves No Choice
- Simulation of wave-particle duality in multi-path interferometers on a quantum computer
- Experimental tests of density matrix's properties-based complementarity relations
- Demystifying the Delayed-Choice Quantum Eraser
- Testing complementarity on a transmon quantum processor