Solid-State Quantum Computing Made Simple?

M. Marecka

Changsu Cao, Jinzhao Sun, Xiao Yuan +3 more

Abstract Quantum computing has shown great potential in various quantum chemical applications such as drug discovery, material design, and catalyst optimization. Although significant progress has been made in quantum simulation of simple molecules, ab initio simulation of solid-state materials on quantum computers is still in its early stage, mostly owing to the fact that the system size quickly becomes prohibitively large when approaching the thermodynamic limit. In this work, we introduce an orbital-based multi-fragment approach on top of the periodic density matrix embedding theory, resulting in a significantly smaller problem size for the current near-term quantum computer. We demonstrate the accuracy and efficiency of our method compared with the conventional methodologies and experiments on solid-state systems with complex electronic structures. These include spin polarized states of a hydrogen chain (1D-H), the equation of state of a boron nitride layer (h-BN) as well as the magnetic ordering in nickel oxide (NiO), a prototypical strongly correlated solid. Our results suggest that quantum embedding combined with a chemically intuitive fragmentation can greatly advance quantum simulation of realistic materials, thereby paving the way for solving important yet classically hard industrial problems on near-term quantum devices.

B. Ruggiero, Per Delsing, C. Granata +2 more

Antonio D’Arrigo, Elisabetta Paladino, G. Falci

Solid-state implementations of quantum bits are very promising for quantum computation, because of their potential scalability and integrability. On the other side solid state noise represents a serious limitation towards the target of solid state quantum computation. We illustrate various possibilities to apply quantum control techniques to solid state qubits. We focus on open loop quantum control, and show that a simple closed loop protocol can greatly improve the coherence time of single qubit gates.

K. A. Valiev, A. A. Kokin

Here we made an analysis of the principles of a semiconductor NMR quantum computer and its developments. The known variant of an individual-access computer (B. Kane) and alternative solid-state bulk-ensemble approach versions allowing to avoid some difficulties in implementing the first variant are considered.

David Peter Divincenzo, Lieven M. K. Vandersypen, Lars R. Schreiber +2 more