Quantum 6, 648 (2022). https://doi.org/10.22331/q-2022-02-10-648 We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this […]
Quantum 6, 647 (2022). https://doi.org/10.22331/q-2022-02-09-647 In this article we consider flagged extensions of convex combination of quantum channels, and find general sufficient conditions for the degradability of the flagged extension. An immediate application is a […]
Quantum 6, 646 (2022). https://doi.org/10.22331/q-2022-02-09-646 Quantum imaging with undetected photons is a recently introduced technique that goes significantly beyond what was previously possible. In this technique, images are formed without detecting the light that interacted […]
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 […]
One of the reasons for the brain’s incredible power is its ability to rewire itself as it learns. Now researchers have created electronic circuits that can do the same. Efforts to mimic the brain in […]
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 […]
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