Inferring superposition and entanglement from measurements in a single basis

Abstract

We discuss what can be inferred from measurements on one- and two-qubit systems using a single measurement basis at various times. We show that, given reasonable physical assumptions, carrying out such measurements at quarter-period intervals is enough to demonstrate coherent oscillations of one or two qubits between the relevant measurement basis states. One can thus infer from such measurements alone that an approximately equal superposition of two measurement basis states has been created in a coherent oscillation experiment. Similarly, one can infer that a near maximally entangled state of two qubits has been created in an experiment involving a putative SWAP gate. These results apply even if the relevant quantum systems are only approximate qubits. We discuss applications to fundamental quantum physics experiments and quantum information processing investigations.

Final published version

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Cited by in corpus (4)

• Optical Schemes for Quantum Computation in Quantum Dot Molecules
• Generation and control of Greenberger-Horne-Zeilinger entanglement in superconducting circuits
• When are correlations quantum? -- Verification and quantification of entanglement by simple measurements
• Extracting an arbitrary relative phase from a multiqubit two-component entangled state