Bulletin of the American Physical Society
Annual Meeting of the APS Four Corners Section
Volume 60, Number 11
Friday–Saturday, October 16–17, 2015; Tempe, Arizona
Session D1: Atomic, Molecular and Optical Physics II |
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Chair: Scott Sayres, Arizona State University Room: MU236 |
Friday, October 16, 2015 1:50PM - 2:14PM |
D1.00001: Quantum computing with micro-fabricated ion traps Invited Speaker: Daniel Stick Over the last decade the field of quantum computing has evolved by placing increasing emphasis on engineering and device physics. For systems which use ion qubits, one of the main manifestations of this emphasis is the work on micro-fabricated ion traps. Using semiconductor processing techniques such as lithography, Sandia National Labs has fabricated many different trap designs in support of experimental quantum computing efforts. My talk will first describe what constitutes an ion qubit and how one is manipulated. Following that I will discuss how micro-fabricated ion traps work, how they are characterized and tested, and how they have supported novel experiments in the field of quantum computing. \\ \\ \\* This work is part of the Multi-Qubit Coherent Operations (MQCO) program supported by the Intelligence Advanced Research Projects Activity (IARPA). Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the US Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. [Preview Abstract] |
Friday, October 16, 2015 2:14PM - 2:26PM |
D1.00002: Quantum Dynamics of Coupled Oscillators Christina C. Horne, Jean-Francois S. Van Huele Exact solutions to the Schr\"{o}dinger equation with time-dependent Hamiltonians are elusive. We will illustrate a method to construct the time evolution operator with a Lie algebra constructed from the different operators of the Hamiltonian in the case of a single driven oscillator. We will then indicate how the dynamics of coupled oscillators can be approached similarly and explore coherence and squeezing in this system. Finally we will explain how this model can be extended to a study of environmental decoherence. [Preview Abstract] |
Friday, October 16, 2015 2:26PM - 2:38PM |
D1.00003: Quantum Control in the Parametric Oscillator Mark A. Auden, Manuel Berrondo, Jean-Francois S. Van Huele Simple harmonic oscillators (SHO) exhibit exactly solvable dynamics and introduce special states of the system (such as number, coherent, or squeezed states) as well as the relevant operators on those states. The SHO can easily be extended to more realistic oscillator systems with increasingly complex dynamics and interesting properties. We focus on the parametric oscillator (PO) and driven parametric oscillators (DPO), whose time-dependent frequency can lead to decreased variances of some physical variables, a.k.a. squeezing.~ We use a Lie Algebra method to find the evolution of POs and look for specific behavior triggered by particular frequency dependence and by single-step driving forces. We relate the parameters of these functional dependences to the evolution of coherent states in order to achieve some degree of control on the quantum system. More specifically, we study the possibility and characteristics of squeezing of coherent states by particular POs. Momentum squeezing is observed for frequencies varying as Gaussian pulses, sinusoidal oscillations around a fixed value, and exponential decay. Squeezing in position is only observed in select cases of the Gaussian pulse. Position or momentum-dependent driving terms in DPOs do not induce additional squeezing effects. [Preview Abstract] |
Friday, October 16, 2015 2:38PM - 2:50PM |
D1.00004: Inaccuracy in Quantum State Tomography - What is to Be Done? Travis Scholten Quantum state tomography is a set of techniques for estimating quantum states from the statistics of measurement outcomes. State tomography of continuous-variable systems, such as optical modes, is difficult because formally the state space is infinite dimensional. Thus, in order to have an accurate estimate, some ``good" dimension must be chosen. This dimension must be identified on the fly, where the data themselves are used to quantify the accuracy of the estimate. Several techniques from classical statistics, collectively known as model selection, provide us with ways of estimating the inaccuracy. One such technique, the Akaike Information Criterion (AIC), relates inaccuracy to the Hilbert space dimension of the estimate. I will show - surprisingly - that the AIC does not reliably predict the inaccuracy for estimating continuous-variable quantum states, suggesting the AIC is not an appropriate model selection technique for these systems, and that new criteria are needed. [Preview Abstract] |
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