Search Results for author: Vadym Kliuchnikov

Found 4 papers, 3 papers with code

Well-conditioned multiproduct Hamiltonian simulation

1 code implementation26 Jul 2019 Guang Hao Low, Vadym Kliuchnikov, Nathan Wiebe

We introduce well-conditioned multiproduct formulas, which are a linear combination of product formulas, where a single step has polynomial cost $\mathcal{O}(m^2\log{(m)})$ and succeeds with probability $\Omega(1/\operatorname{log}^2{(m)})$.

Quantum Physics Computational Physics

Trading T-gates for dirty qubits in state preparation and unitary synthesis

no code implementations3 Dec 2018 Guang Hao Low, Vadym Kliuchnikov, Luke Schaeffer

We present a quantum algorithm for preparing any dimension-$N$ pure quantum state specified by a list of $N$ classical numbers, that realizes a trade-off between space and T-gates.

Quantum Physics

Practical approximation of single-qubit unitaries by single-qubit quantum Clifford and T circuits

1 code implementation31 Dec 2012 Vadym Kliuchnikov, Dmitri Maslov, Michele Mosca

We present an algorithm, along with its implementation that finds T-optimal approximations of single-qubit Z-rotations using quantum circuits consisting of Clifford and T gates.

Quantum Physics Emerging Technologies

Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates

1 code implementation22 Jun 2012 Vadym Kliuchnikov, Dmitri Maslov, Michele Mosca

In this paper, we show the equivalence of the set of unitaries computable by the circuits over the Clifford and T library and the set of unitaries over the ring $\mathbb{Z}[\frac{1}{\sqrt{2}}, i]$, in the single-qubit case.

Quantum Physics Emerging Technologies

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