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Fast Classical Simulation of Linear Quantum Optics Applied to Topics in Quantum Communication and Computation

acase@tulane.edu / In this dissertation we test our ability to implement linear entangling operations between small numbers of photons for application in quantum communication and computation. We begin by presenting a fast and highly parallelizable numerical algorithm for simulating linear optical circuits on classical hardware. Then, we apply this algorithm to three independent topics in quantum information:

First, in Chapter 2, we determine the information capacity of an optical quantum channel and show that a linear encoding is generally sufficient to achieve this capacity.

In Chapter 3 we introduce a computational encoding basis wherein qubits are stored in single-photon blocks and then test our ability to apply entangling operations between blocks.

Finally, in Chapter 4, we use our algorithm to make progress in the long-standing problem of designing a near-perfect optical Bell state analyzer. We find a clear trend in state distinguishability as we incorporate unentangled pairs of ancilla photons. We also prove that if a measurement outcome in which all photons are bunched into only two output modes is possible, then perfect state discrimination is impossible. We then present a set of conditions that prevent this outcome. / 1 / Jake A Smith

  1. tulane:78812
Identiferoai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_78812
Date January 2018
ContributorsSmith, Jake (author), Kaplan, Lev (Thesis advisor), School of Science & Engineering Physics and Engineering Physics (Degree granting institution)
PublisherTulane University
Source SetsTulane University
LanguageEnglish
Detected LanguageEnglish
TypeText
Formatelectronic, 111
RightsNo embargo, Copyright is in accordance with U.S. Copyright law.

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