39 citations · 134 across the 20 of their papers we have counts for
11 papers · 1 filter
Retrodictive Quantum Computing
Jacques Carette, Gerardo Ortiz, Amr Sabry
Quantum models of computation are widely believed to be more powerful than classical ones. Efforts center on proving that, for a given problem, quantum algorithms are more resource…
Quantum Computation of Hydrogen Bond Dynamics and Vibrational Spectra
Philip Richerme, Melissa C. Revelle, Debadrita Saha +10
Calculating the observable properties of chemical systems is often classically intractable and is widely viewed as a promising application of quantum information processing. Yet on…
Quantum Interval-Valued Probability: Contextuality and the Born Rule
Yu-Tsung Tai, Andrew J. Hanson, Gerardo Ortiz +1
We present a mathematical framework based on quantum interval-valued probability measures to study the effect of experimental imperfections and finite precision measurements on def…
Discrete Quantum Theories
Andrew J. Hanson, Gerardo Ortiz, Amr Sabry +1
We explore finite-field frameworks for quantum theory and quantum computation. The simplest theory, defined over unrestricted finite fields, is unnaturally strong. A second framewo…
Geometry of Discrete Quantum Computing
Andrew J. Hanson, Gerardo Ortiz, Amr Sabry +1
Conventional quantum computing entails a geometry based on the description of an n-qubit state using 2^{n} infinite precision complex numbers denoting a vector in a Hilbert space.…
The Power of Discrete Quantum Theories
Andrew J. Hanson, Gerardo Ortiz, Amr Sabry +1
We explore the implications of restricting the framework of quantum theory and quantum computation to finite fields. The simplest proposed theory is defined over arbitrary finite f…