Experimental Observation of a Topological Phase in the Maximally Entangled State of a Pair of Qubits

Abstract

Quantum mechanical phase factors can be related to dynamical effects or to the geometrical properties of a trajectory in a given space - either parameter space or Hilbert space. Here, we experimentally investigate a quantum mechanical phase factor that reflects the topology of the SO(3) group: since rotations by $\pi$ around antiparallel axes are identical, this space is doubly connected. Using pairs of nuclear spins in a maximally entangled state, we subject one of the spins to a cyclic evolution. If the corresponding trajectory in SO(3) can be smoothly deformed to a point, the quantum state at the end of the trajectory is identical to the initial state. For all other trajectories the quantum state changes sign.

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Cited by in corpus (24)

• A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation
• Coexistence of quantized and non-quantized geometric phases in quasi-one-dimensional systems without inversion symmetry
• Quantum Computing with NMR
• Geometric phases in quantum information
• Multipartite Entanglement Measure and Complete Monogamy Relation
• Non-Markovian effect on the geometric phase of a dissipative qubit
• Fractional topological phase for entangled qudits
• Topological phases and multiqubit entanglement
• Observation of Entanglement-Dependent Two-Particle Holonomic Phase
• Topological Color Codes and Two-Body Quantum Lattice Hamiltonians
• Topological phase structure of vector vortex beams
• Observation of Geometric Phases for Three-Level Systems using NMR Interferometry
• Topological phase structure of entangled qudits
• Fractional topological phase on spatially encoded photonic qudits
• Geometry of quantum evolution in a nonequilibrium environment
• Classification scheme of pure multipartite states based on topological phases
• Experimental observation of fractional topological phases with photonic qudits
• Controlling NMR spin systems for quantum computation
• Three-qubit topological phase on entangled photon pairs
• Non-Markovian dynamics of mixed-state geometric phase of dissipative qubits
• Time optimal control based on classification of quantum gates
• Rescaling interactions for quantum control
• Non Abelian structures and the geometric phase of entangled qudits
• Intrinsic bounds of a two-qudit random evolution