Observation of Entanglement-Dependent Two-Particle Holonomic Phase

Abstract

Holonomic phases---geometric and topological---have long been an intriguing aspect of physics. They are ubiquitous, ranging from observations in particle physics to applications in fault tolerant quantum computing. However, their exploration in particles sharing genuine quantum correlations lack in observations. Here we experimentally demonstrate the holonomic phase of two entangled-photons evolving locally, which nevertheless gives rise to an entanglement-dependent phase. We observe its transition from geometric to topological as the entanglement between the particles is tuned from zero to maximal, and find this phase to behave more resilient to evolution changes with increasing entanglement. Furthermore, we theoretically show that holonomic phases can directly quantify the amount of quantum correlations between the two particles. Our results open up a new avenue for observations of holonomic phenomena in multi-particle entangled quantum systems.

8 pages, 6 figures

References in corpus (8)

• Experimental Realization of Non-Abelian Geometric Gates
• Holonomic quantum computation in decoherence-free subspaces
• Measurement of geometric phase for mixed states using single photon interferometry
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• Phase Dynamics of Two Entangled Qubits
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• Representation of Berry phase by the trajectories of Majorana stars
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• Measurement of geometric dephasing using a superconducting qubit
• Experimental observation of fractional topological phases with photonic qudits
• Measuring Entanglement in a Photonic Embedding Quantum Simulator
• Topology, Holonomy, and Quantum Walks
• Observation of nonlinear variations in three-vertex geometric phase in two-photon polarization qutrit
• Non Abelian structures and the geometric phase of entangled qudits
• iSWAP-type geometric gates induced by paths on Schmidt sphere