Quantum Non-Local Magic

• URL: http://arxiv.org/abs/2502.06393v2
• Date: Thu, 13 Feb 2025 10:56:26 GMT
• Title: Quantum Non-Local Magic
• Authors: Dongheng Qian, Jing Wang,
• Abstract summary: Quantum entanglement and quantum magic are fundamental resources that characterize distinct aspects of a quantum state. We propose that quantum non-local magic serves as an effective measure of this combined resource, incorporating both entanglement and magic.
• Score: 3.134848671499466
• License:
• Abstract: Quantum entanglement and quantum magic are fundamental resources that characterize distinct aspects of a quantum state: entanglement reflects non-local correlations, while magic quantifies the deviation from stabilizer states. A quantum state becomes a valuable resource for applications like universal quantum computation only when both quantities are present. Here, we propose that quantum non-local magic (NM) serves as an effective measure of this combined resource, incorporating both entanglement and magic. We demonstrate that NM can be precisely computed for two-qubit pure states, where it is directly related to the entanglement spectrum. We then extend the definition of NM to mixed states and explore its presence in many-body quantum systems, revealing that the two-point NM decays according to a power law in critical states. Furthermore, we explore measurement-induced NM and uncover an intriguing phenomenon termed "magic swapping", analogous to entanglement swapping, wherein post-measurement NM decays more slowly than any pre-measurement correlations. Our results thus represent a pivotal step towards accurately quantifying the "quantumness" of a state and reveal the potential for manipulating this resource through measurements.

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