arXiv (Cornell University) · 2015 · 12 citations · 0 references
Natural SciencesMathematicsPhysicsMathematical PhysicsQuantum ComputingQuantum MechanicsDensity Matrix FormalismQuantum BitsQuantum ComputationQuantum MeasurementQuantum StatesQuantum StatisticsDensity MatricesDensity MatrixQuantum Density MatrixQuantum Eigenvalue EstimationQuantum State EstimationQuantum State TomographyQuantum TomographyWigner-ville Distribution
The statistical nature of measurements alone easily causes unphysical estimates in quantum state tomography. We show that multinomial or Poissonian noise results in eigenvalue distributions converging to the Wigner semicircle distribution for already a modest number of qubits. This enables to specify the number of measurements necessary to avoid unphysical solutions as well as a new approach to obtain physical estimates.