Quantum 7, 1057 (2023). https://doi.org/10.22331/q-2023-07-12-1057 Semidefinite programs are optimization methods with a wide array of applications, such as approximating difficult combinatorial problems. One such semidefinite program is the Goemans-Williamson algorithm, a popular integer relaxation technique. […]
Quantum 7, 1056 (2023). https://doi.org/10.22331/q-2023-07-12-1056 Random walks (or Markov chains) are models extensively used in theoretical computer science. Several tools, including analysis of quantities such as hitting and mixing times, are helpful for devising randomized […]
Quantum 7, 1055 (2023). https://doi.org/10.22331/q-2023-07-11-1055 Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a process to unfold by using a distance between quantum states and identifying the speed of evolution […]
Quantum 7, 1054 (2023). https://doi.org/10.22331/q-2023-07-11-1054 In device-independent quantum information, correlations between local measurement outcomes observed by spatially separated parties in a Bell test play a fundamental role. Even though it is long-known that the set […]
Quantum 7, 1053 (2023). https://doi.org/10.22331/q-2023-07-11-1053 Extracting tomographic information about quantum states is a crucial task in the quest towards devising high-precision quantum devices. Current schemes typically require measurement devices for tomography that are a priori […]
Quantum 7, 1052 (2023). https://doi.org/10.22331/q-2023-07-11-1052 Banchi & Crooks (Quantum, 2021) have given methods to estimate derivatives of expectation values depending on a parameter that enters via what we call a “perturbed” quantum evolution $xmapsto e^{i(x […]
Quantum 7, 1051 (2023). https://doi.org/10.22331/q-2023-07-11-1051 In the recent years self-testing has grown into a rich and active area of study with applications ranging from practical verification of quantum devices to deep complexity theoretic results. Self-testing […]
Quantum 7, 1050 (2023). https://doi.org/10.22331/q-2023-07-11-1050 The topological charge $m$ of vortex electrons spans an infinite-dimensional Hilbert space. Selecting a two-dimensional subspace spanned by $m=pm 1$, a beam electron in a transmission electron microscope (TEM) can […]
Quantum 7, 1049 (2023). https://doi.org/10.22331/q-2023-07-10-1049 Ionic pseudopotentials are widely used in classical simulations of materials to model the effective potential due to the nucleus and the core electrons. Modeling fewer electrons explicitly results in a […]
Quantum 7, 1048 (2023). https://doi.org/10.22331/q-2023-07-06-1048 In this work, we compute the number of $[[n,k]]_d$ stabilizer codes made up of $d$-dimensional qudits, for arbitrary positive integers $d$. In a seminal work by Gross [23] the number […]
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