Quantum 6, 692 (2022). https://doi.org/10.22331/q-2022-04-20-692 In this work, we present number-theoretic and algebraic-geometric techniques for bounding the stabilizer rank of quantum states. First, we refine a number-theoretic theorem of Moulton to exhibit an explicit sequence […]
Quantum 6, 691 (2022). https://doi.org/10.22331/q-2022-04-15-691 Understanding dynamics of localized quantum systems embedded in engineered bosonic environments is a central problem in quantum optics and open quantum system theory. We present a formalism for studying few-particle […]
Quantum 6, 690 (2022). https://doi.org/10.22331/q-2022-04-15-690 We propose a simple quantum algorithm for simulating highly oscillatory quantum dynamics, which does not require complicated quantum control logic for handling time-ordering operators. To our knowledge, this is the […]
Quantum 6, 689 (2022). https://doi.org/10.22331/q-2022-04-15-689 Quantum coherence is an essential resource to gain advantage over classical physics and technology. Recently, it has been proposed that a low-temperature environment can induce quantum coherence of a spin […]
Quantum 6, 688 (2022). https://doi.org/10.22331/q-2022-04-13-688 Evaluating an expectation value of an arbitrary observable $Ain{mathbb C}^{2^ntimes 2^n}$ through naïve Pauli measurements requires a large number of terms to be evaluated. We approach this issue using a […]
Quantum 6, 687 (2022). https://doi.org/10.22331/q-2022-04-13-687 We study the correlation clustering problem using the quantum approximate optimization algorithm (QAOA) and qudits, which constitute a natural platform for such non-binary problems. Specifically, we consider a neutral atom […]
Quantum 6, 686 (2022). https://doi.org/10.22331/q-2022-04-13-686 Quantum coupling between mechanical oscillators and atomic gases generating entanglement has been recently experimentally demonstrated using their subsequent interaction with light. The next step is to build a hybrid atom-mechanical […]
Quantum 6, 685 (2022). https://doi.org/10.22331/q-2022-04-13-685 Fluctuation theorems allow one to make generalised statements about the behaviour of thermodynamic quantities in systems that are driven far from thermal equilibrium. In this article we use Crooks’ fluctuation […]
Quantum 6, 684 (2022). https://doi.org/10.22331/q-2022-04-13-684 Strong coupling regime takes place in open hybrid systems consisting of two or more physical subsystems when the coupling strength between subsystems exceeds the relaxation rate. The relaxation arises due […]
Quantum 6, 683 (2022). https://doi.org/10.22331/q-2022-04-07-683 Uncertainty relations play a crucial role in quantum mechanics. Well-defined methods exist for the derivation of such uncertainties for pairs of observables. Other approaches also allow the formulation of time-energy […]
Recent Comments