We develop and implement automated methods for optimizing quantum circuits of the size
and type expected in quantum computations that outperform classical computers. We show …

The ability to implement the Quantum Fourier Transform (QFT) efficiently on a quantum
computer facilitates the advantages offered by a variety of fundamental quantum algorithms …

We consider Shor's quantum factoring algorithm in the setting of noisy quantum gates.
Under a generic model of random noise for (controlled) rotation gates, we prove that the …

Orthogonal frequency-division multiplexing (OFDM) is a crucial modulation method used in
contemporary digital communication systems for its significant spectral efficiency, low …

We report on the current state of factoring integers on both digital and analog quantum
computers. For digital quantum computers, we study the effect of errors for which one can …

The disclosure describes the implementation of automated techniques for optimizing
quantum circuits of the size and type expected in quantum computations that outperform …

Shor's factoring algorithm contains controlled modular exponentiation which can be further
reduced as a series of controlled modular multipliers with constant. For the controlled …

The disclosure describes a method, an apparatus, a computer-readable medium, and/or
means for reducing two-qubit gates in quantum circuits may include receiving a netlist …

Removing a single logical gate from a classical information processor renders this processor
useless. This is not so for a quantum information processor. A large number of quantum …

The quantum Fourier transform (QFT) is one of the most widely used quantum algorithms,
ranging from its primary role in finding the periodicity hidden in a quantum state to its use in …