Introduction to algorithms
Introduction to the Theory of Computation
Introduction to the Theory of Computation
Quantum computation and quantum information
Quantum computation and quantum information
Quantum Information with Continuous Variables
Quantum Information with Continuous Variables
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We study a simple-harmonic-oscillator quantum computer solving oracle decision problems. We show that such computers can perform better by using nonorthogonal Gaussian wave functions rather than orthogonal top-hat wave functions as input to the information encoding process. Using the Deutsch---Jozsa problem as an example, we demonstrate that Gaussian modulation with optimized width parameter results in a lower error rate than for the top-hat encoding. We conclude that Gaussian modulation can allow for an improved trade-off between encoding, processing and measurement of the information.