Quantum 6, 699 (2022). https://doi.org/10.22331/q-2022-04-27-699 Observed quantum correlations are known to determine in certain cases the underlying quantum state and measurements. This phenomenon is known as $textit{(quantum) self-testing}$. Self-testing constitutes a significant research area with […]
Quantum 6, 698 (2022). https://doi.org/10.22331/q-2022-04-27-698 We consider a topological stabilizer code on a honeycomb grid, the “XYZ$^2$” code. The code is inspired by the Kitaev honeycomb model and is a simple realization of a “matching […]
Quantum 6, 697 (2022). https://doi.org/10.22331/q-2022-04-27-697 Photon losses are intrinsic for any translationally invariant optical imaging system with a non-trivial Point Spread Function, and the relation between the transmission factor and the coherence properties of an […]
Quantum 6, 696 (2022). https://doi.org/10.22331/q-2022-04-27-696 We describe an optimal procedure, as well as its efficient software implementation, for exact and approximate synthesis of two-qubit unitary operations into any prescribed discrete family of XX-type interactions and […]
Quantum 6, 695 (2022). https://doi.org/10.22331/q-2022-04-25-695 Entanglement shared among multiple parties presents complex challenges for the characterisation of different types of entanglement. One of the most fundamental insights is the fact that some mixed states can […]
Quantum 6, 694 (2022). https://doi.org/10.22331/q-2022-04-21-694 Path integrals constitute powerful representations for both quantum and stochastic dynamics. Yet despite many decades of intensive studies, there is no consensus on how to formulate them for dynamics in […]
Quantum 6, 693 (2022). https://doi.org/10.22331/q-2022-04-21-693 We introduce a simple construction of boundary conditions for the honeycomb code [1] that uses only pairwise checks and allows parallelogram geometries at the cost of modifying the bulk measurement […]
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 […]
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