Operational effects of the UNOT gate on classical and quantum correlations
arXiv:1711.04937 · doi:10.1016/j.scib.2018.05.011
Abstract
The NOT gate that flips a classical bit is ubiquitous in classical information processing. However its quantum analogue, the universal NOT (UNOT) gate that flips a quantum spin in any alignment into its antipodal counterpart is strictly forbidden. Here we explore the connection between this discrepancy and how UNOT gates affect classical and quantum correlations. We show that while a UNOT gate always preserves classical correlations between two spins, it can non-locally increase or decrease their shared discord in ways that allow violation of the data processing inequality. We experimentally illustrate this using a multi-level trapped \Yb ion that allows simulation of anti-unitary operations.
17 pages, 6 figures
References in corpus (8)
- Realization of the quantum Toffoli gate with trapped ions
- Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
- Operational Significance of Discord Consumption: Theory and Experiment
- How Discord underlies the Noise Resilience of Quantum Illumination
- A pedagogical overview of quantum discord
- Time Reversal and Charge Conjugation in an Embedding Quantum Simulator
- The Forbidden Quantum Adder
- von Neumann measurement-related matrices and the nullity condition for quantum correlation