Quantum 6, 645 (2022). https://doi.org/10.22331/q-2022-02-09-645 We establish a link between stabilizer states, stabilizer rank, and higher-order Fourier analysis – a still-developing area of mathematics that grew out of Gowers’s celebrated Fourier-analytic proof of Szemerédi’s theorem […]
Quantum 6, 644 (2022). https://doi.org/10.22331/q-2022-02-08-644 There is no unique way to quantify the degree of delocalization of quantum states in unbounded continuous spaces. In this work, we explore a recently introduced localization measure that quantifies […]
Quantum 6, 643 (2022). https://doi.org/10.22331/q-2022-02-03-643 The study of critical quantum many-body systems through conformal field theory (CFT) is one of the pillars of modern quantum physics. Certain CFTs are also understood to be dual to […]
Quantum 6, 642 (2022). https://doi.org/10.22331/q-2022-02-02-642 With increasing subsystem size and energy, bipartite entanglement entropies of energy eigenstates cross over from the groundstate scaling to a volume law. In previous work, we pointed out that, when […]
Quantum 6, 641 (2022). https://doi.org/10.22331/q-2022-02-02-641 Negative quantum conditional entropy states are key ingredients for information theoretic tasks such as superdense coding, state merging and one-way entanglement distillation. In this work, we ask: how does one […]
Quantum 6, 640 (2022). https://doi.org/10.22331/q-2022-02-02-640 We consider the problem of learning stabilizer states with noise in the Probably Approximately Correct (PAC) framework of Aaronson (2007) for learning quantum states. In the noiseless setting, an algorithm […]
Quantum 6, 639 (2022). https://doi.org/10.22331/q-2022-02-02-639 Landau-Zener physics is often exploited to generate quantum logic gates and to perform state initialization and readout. The quality of these operations can be degraded by noise fluctuations in the […]
Quantum 6, 638 (2022). https://doi.org/10.22331/q-2022-02-02-638 Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and measurements. Dissipative phase transitions in steady […]
Quantum 6, 637 (2022). https://doi.org/10.22331/q-2022-02-02-637 A highly anticipated use of quantum computers is the simulation of complex quantum systems including molecules and other many-body systems. One promising method involves directly applying a linear combination of […]
Quantum 6, 636 (2022). https://doi.org/10.22331/q-2022-01-31-636 Quantum Darwinism posits that the emergence of a classical reality relies on the spreading of classical information from a quantum system to many parts of its environment. But what are […]
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