Quantum 5, 587 (2021). https://doi.org/10.22331/q-2021-11-24-587 We present two new results about exact learning by quantum computers. First, we show how to exactly learn a $k$-Fourier-sparse $n$-bit Boolean function from $O(k^{1.5}(log k)^2)$ uniform quantum examples for […]
Quantum 5, 586 (2021). https://doi.org/10.22331/q-2021-11-23-586 We present a new tensor network algorithm for calculating the partition function of interacting quantum field theories in 2 dimensions. It is based on the Tensor Renormalization Group (TRG) protocol, […]
Quantum 5, 585 (2021). https://doi.org/10.22331/q-2021-11-22-585 We study the performance of medium-length quantum LDPC (QLDPC) codes in the depolarizing channel. Only degenerate codes with the maximal stabilizer weight much smaller than their minimum distance are considered. […]
Quantum 5, 584 (2021). https://doi.org/10.22331/q-2021-11-18-584 I’ve been building Powerpoint-based quantum computers with electron spins in silicon for 20 years. Unfortunately, real-life-based quantum dot quantum computers are harder to implement. Materials, fabrication, and control challenges still […]
Quantum 5, 583 (2021). https://doi.org/10.22331/q-2021-11-17-583 $textbf{scqubits}$ is an open-source Python package for simulating and analyzing superconducting circuits. It provides convenient routines to obtain energy spectra of common superconducting qubits, such as the transmon, fluxonium, flux, […]
Quantum 5, 582 (2021). https://doi.org/10.22331/q-2021-11-17-582 A large body of recent work has begun to explore the potential of parametrized quantum circuits (PQCs) as machine learning models, within the framework of hybrid quantum-classical optimization. In particular, […]
Quantum 5, 581 (2021). https://doi.org/10.22331/q-2021-11-16-581 We show that the Randomized Benchmarking (RB) protocol is a convolution amenable to Fourier space analysis. By adopting the mathematical framework of Fourier transforms of matrix-valued functions on groups established […]
Quantum 5, 580 (2021). https://doi.org/10.22331/q-2021-11-16-580 The Clifford group is a finite subgroup of the unitary group generated by the Hadamard, the CNOT, and the Phase gates. This group plays a prominent role in quantum error […]
Quantum 5, 579 (2021). https://doi.org/10.22331/q-2021-11-16-579 Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel critical phases with power-law squared correlations and a logarithmic subsystem entanglement. In this work, we theoretically […]
Quantum 5, 578 (2021). https://doi.org/10.22331/q-2021-11-15-578 The demonstration of quantum speedup, also known as quantum computational supremacy, that is the ability of quantum computers to outperform dramatically their classical counterparts, is an important milestone in the […]
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