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Asymptotically optimal approximation of single qubit unitaries by Clifford and T circuits using a constant number of ancillary qubits
Vadym Kliuchnikov, Dmitri Maslov, Michele Mosca
We present an algorithm for building a circuit that approximates single qubit unitaries with precision ε using O(log(1/ε)) Clifford and T gates and employing up to two ancillary qu…
Practical approximation of single-qubit unitaries by single-qubit quantum Clifford and T circuits
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. Ou…
Chiral Spin Waves in Fermi Liquids with Spin-Orbit Coupling
Ali Ashrafi, Dmitrii L. Maslov
We predict the existence of chiral spin waves collective modes in a two-dimensional Fermi liquid with the Rashba or Dresselhaus spin-orbit coupling. Starting from the phenomenologi…
First-Matsubara-frequency rule in a Fermi liquid. Part II: Optical conductivity and comparison to experiment
Dmitrii L. Maslov, A. V. Chubukov
Motivated by recent optical measurements on a number of strongly correlated electron systems, we revisit the dependence of the conductivity of a Fermi liquid, σ(Ω,T), on the freque…
First-Matsubara-frequency rule in a Fermi liquid. Part I: Fermionic self-energy
Andrey V. Chubukov, Dmitrii L. Maslov
We analyze in detail the fermionic self-energy Σ(ω, T) in a Fermi liquid (FL) at finite temperature T and frequency ω. We consider both canonical FLs -- systems in spatial dimensio…
Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates
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…