Rayleigh-Ritz calculations in Segal-Bargmann space recover the exact harmonic-oscillator ground state and yield perturbative energy expansions for the quartic anharmonic oscillator via adaptive Gaussian trial functions.
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Quantum gates are realized as differential operators on holomorphic functions that preserve the qubit subspace and act as canonical transformations on a toroidal geometry.
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Rayleigh-Ritz Variational Method in The Complex Plane
Rayleigh-Ritz calculations in Segal-Bargmann space recover the exact harmonic-oscillator ground state and yield perturbative energy expansions for the quartic anharmonic oscillator via adaptive Gaussian trial functions.
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Geometry of Quantum Logic Gates
Quantum gates are realized as differential operators on holomorphic functions that preserve the qubit subspace and act as canonical transformations on a toroidal geometry.