Quantum 6, 761 (2022). https://doi.org/10.22331/q-2022-07-11-761 Significant effort in applied quantum computing has been devoted to the problem of ground state energy estimation for molecules and materials. Yet, for many applications of practical value, additional properties […]
Quantum 6, 760 (2022). https://doi.org/10.22331/q-2022-07-07-760 Walgate and Scott have determined the maximum number of generic pure quantum states that can be unambiguously discriminated by an LOCC measurement [Journal of Physics A: Mathematical and Theoretical, 41:375305, […]
Quantum 6, 759 (2022). https://doi.org/10.22331/q-2022-07-07-759 The Quantum Approximate Optimization Algorithm (QAOA) is a general-purpose algorithm for combinatorial optimization problems whose performance can only improve with the number of layers $p$. While QAOA holds promise as […]
Quantum 6, 758 (2022). https://doi.org/10.22331/q-2022-07-07-758 Several noisy intermediate-scale quantum computations can be regarded as logarithmic-depth quantum circuits on a sparse quantum computing chip, where two-qubit gates can be directly applied on only some pairs of […]
Quantum 6, 757 (2022). https://doi.org/10.22331/q-2022-07-07-757 We consider the power of local algorithms for approximately solving Max $k$XOR, a generalization of two constraint satisfaction problems previously studied with classical and quantum algorithms (MaxCut and Max E3LIN2). […]
Quantum 6, 756 (2022). https://doi.org/10.22331/q-2022-07-07-756 In this paper we study the Platonic Bell inequalities for all possible dimensions. There are five Platonic solids in three dimensions, but there are also solids with Platonic properties (also […]
Quantum 6, 755 (2022). https://doi.org/10.22331/q-2022-07-07-755 We consider a bipartite transformation that we call $self-embezzlement$ and use it to prove a constant gap between the capabilities of two models of quantum information: the conventional model, where […]
Quantum 6, 754 (2022). https://doi.org/10.22331/q-2022-06-30-754 We give a classical algorithm for linear regression analogous to the quantum matrix inversion algorithm [Harrow, Hassidim, and Lloyd, Physical Review Letters’09] for low-rank matrices [Wossnig, Zhao, and Prakash, Physical […]
Quantum 6, 753 (2022). https://doi.org/10.22331/q-2022-06-30-753 We present a formalism that captures the process of proving quantum superiority to skeptics as an interactive game between two agents, supervised by a referee. Bob, is sampling from a […]
Quantum 6, 752 (2022). https://doi.org/10.22331/q-2022-06-30-752 Quantum finite automata (QFA) are basic computational devices that make binary decisions using quantum operations. They are known to be exponentially memory efficient compared to their classical counterparts. Here, we […]
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