Martiel, Simon Goubault de Brugière, Timothée

Qubit routing is a key problematic related to quantum circuit compilation. It consists in rewriting a quantum circuit by adding the least possible number of instructions to make the circuit compliant with some architecture's connectivity constraints. Usually, this problem is tackled via either SWAP insertion techniques or re-synthesis of portions o...

Penchev, Vasil

A homeomorphism is built between the separable complex Hilbert space (quantum mechanics) and Minkowski space (special relativity) by meditation of quantum information (i.e. qubit by qubit). That homeomorphism can be interpreted physically as the invariance to a reference frame within a system and its unambiguous counterpart out of the system. The s...

East, Richard D.P. Martin-Dussaud, Pierre van de Wetering, John

The ZX-calculus, and the variant we consider in this paper (ZXH-calculus), are formal diagrammatic languages for qubit quantum computing. We show that it can also be used to describe SU(2) representation theory. To achieve this, we first recall the definition of Yutsis diagrams, a standard graphical calculus used in quantum chemistry and quantum gr...

Drezet, Aurélien

In this work we derive Born's rule from the pilot-wave theory of de Broglie and Bohm. Based on a toy model involving a particle coupled to a environement made of "qubits" (i.e., Bohmian pointers) we show that entanglement together with deterministic chaos lead to a fast relaxation from any statistitical distribution $\rho(x)$ (of finding a particle...

Lundberg, Theodor Ibberson, David J. Li, Jing Hutin, Louis Abadillo-Uriel, José C. Filippone, Michele Bertrand, Benoit Nunnenkamp, Andreas Lee, Chang-min Stelmashenko, Nadia
...

Spin qubits in gate-defined silicon quantum dots are receiving increased attention thanks to their potential for large-scale quantum computing. Readout of such spin qubits is done most accurately and scalably via Pauli spin blockade (PSB), however various mechanisms may lift PSB and complicate readout. In this work, we present an experimental obser...

Amosov, G. G. Mokeev, A. S. Pechen, A. N.
Published in
Lobachevskii Journal of Mathematics

AbstractWe consider error correction, based on the theory of non-commutative graphs, for a model of a qubit interacting with quantum oscillator. The dynamics of the composite system is governed by the Schrödinger equation which generates positive operator-valued measure (POVM) for the system dynamics. We construct a quantum channel generating the n...

van Dijk, J.P.G. (author)

Quantum computers have gained widespread interest as they can potentially solve problems that are intractable even for today’s supercomputers, such as the simulation of quantum systems as initially proposed by Feynman. To achieve such tremendous progress, a quantum computer relies on processing the information stored in quantum bits (qubits), the f...

Penchev, Vasil

The quantum information introduced by quantum mechanics is equivalent to a certain generalization of classical information: from finite to infinite series or collections. The quantity of information is the quantity of choices measured in the units of elementary choice. The "qubit", can be interpreted as that generalization of "bit", which is a choi...

cigna, ludvík

Tato práce se zabývá problematikou kvantového počítání. To má potenciál překonat hranice efektivní řešitelnosti problémů stanovené klasickým pojetím informatiky. Začátek je věnován shrnutí základních konceptů kvantové informatiky, jako je qubit či kvantové brány. Dále se již pozornost obrací k jednotlivým nejdůležitějším algoritmům. Z těch vyhledáv...

Kirillov, A. I. Polyachenko, E. V.
Published in
Theoretical and Mathematical Physics

Abstract We describe the interaction between the qubit and the electromagnetic field in a waveguide in accordance with the Lee model using the fact that photons in the waveguide are quanta of a massive scalar neutral field. We study the case where the energy of the excited state of the qubit is larger than the photon mass. We find the stationary st...