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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C08020 - Quantum Estimation: Theory and PracticePODCAST Subscribe to podcast

Quantum Estimation: Theory and Practice

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Collection URL: http://pirsa.org/C08020

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A new approach to Quantum Estimation: Theory and Applications
Speaker(s): Giacomo D'Ariano
Abstract: A new approach to Quantum Estimation Theory will be introduced, based on the novel notions of 'quantum comb' and 'quantum tester', which generalize the customary notions of 'channel' and 'POVM' [PRL 101 060401 (2008)]. The new approach opens completely new possibilities of optimization in Quantum Es... read more
Date: 25/08/2008 - 9:30 am

Quantum state and process estimation in trapped ion experiments
Speaker(s): Christian Roos
Abstract: The experimental realization of entangled states requires tools for characterizing the produced states as well as the processes used for creating the entanglement. In my talk, I will present examples of quantum measurements occuring in trapped ion experiments aiming at creating high-fidelity quantum... read more
Date: 25/08/2008 - 11:15 am

Quantum Tomographic Reconstruction with Error Bars: a Kalman Filter Approach
Speaker(s): Koenraad Audenaert
Abstract: We present a novel quantum tomographic reconstruction method based on Bayesian inference via the Kalman filter update equations. The method not only yields the maximum likelihood/optimal Bayesian reconstruction, but also a covariance matrix expressing the measurement uncertainties in a complete way.... read more
Date: 25/08/2008 - 2:00 pm

Quantum state tomography in the real world: the search for rigor by an increasingly confused experimentalist
Speaker(s): Nathan Langford
Abstract: The basic principles of quantum state tomography were first outlined by Stokes for the context of light polarisation more than 150 years ago. For an experimentalist the goal is clear: to use a series of measurement outcomes to make the best possible estimate of a system's quantum state, including ph... read more
Date: 25/08/2008 - 2:45 pm

Optimal linear tomography of quantum states and processes with tight POVMs
Speaker(s): Andrew Scott
Abstract: We introduce the concept of tight POVMs. In analogy with tight frames, these are POVMs that are as close as possible to orthonormal bases for the space they span. We show that tight rank-one POVMs define the exact class of optimal measurements for linear tomography of quantum states. In this setting... read more
Date: 25/08/2008 - 4:15 pm

Pretty-Good Tomography
Speaker(s): Scott Aaronson
Abstract: I'll survey recent results from quantum computing theory showing that,if one just wishes to learn enough about a quantum state to predictthe outcomes of most measurements that will actually be made, then itoften suffices to perform exponentially fewer measurements than wouldbe needed in quantum stat... read more
Date: 26/08/2008 - 9:30 am

Continuous variable two designs
Speaker(s): Peter Turner
Abstract: I will discuss our ongoing attempts to construct Symmetric Informationally Complete Positive Operator Valued Measures, or (minimal) two designs, out of Gaussian states. This poses difficulties both in principle, such as how to introduce a measure on the noncompact group of symplectic transformations... read more
Date: 26/08/2008 - 11:15 am

A continuous-variable approach to process tomography
Speaker(s): Alex Lvovsky
Abstract: We propose and demonstrate experimentally a technique for estimating quantum-optical processes in the continuous-variable domain. The process data is determined by applying the process to a set of coherent states and measuring the output. The process output for an arbitrary input state can then be o... read more
Date: 26/08/2008 - 12:00 pm

Diagnosis of Pulsed Squeezing in Multiple Temporal Modes
Speaker(s): Scott Glancy
Abstract: When one makes squeezed light by downconversion of a pulsed pump laser, many temporal / spectral modes are simultaneously squeezed by different amounts. There is no guarantee that any of these modes matches the pump or the local oscillator used to measure the squeezing in homodyne detection. Theref... read more
Date: 26/08/2008 - 2:30 pm

Selective and efficient process tomography
Speaker(s): Juan Pablo Paz
Abstract:
Date: 26/08/2008 - 3:15 pm

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