Quantum 7, 1089 (2023). https://doi.org/10.22331/q-2023-08-22-1089 We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant […]
Quantum 7, 1088 (2023). https://doi.org/10.22331/q-2023-08-22-1088 Given the importance of quantum reference frames (QRFs) to both quantum and gravitational physics, it is pertinent to develop a systematic method for switching between the descriptions of physics relative […]
Quantum 7, 1087 (2023). https://doi.org/10.22331/q-2023-08-16-1087 As techniques for fault-tolerant quantum computation keep improving, it is natural to ask: what is the fundamental lower bound on space overhead? In this paper, we obtain a lower bound […]
Quantum 7, 1086 (2023). https://doi.org/10.22331/q-2023-08-16-1086 Solving the electronic structure problem via unitary evolution of the electronic Hamiltonian is one of the promising applications of digital quantum computers. One of the practical strategies to implement the […]
Quantum 7, 1085 (2023). https://doi.org/10.22331/q-2023-08-16-1085 The generalized $Q$-function of a spin system can be considered the outcome probability distribution of a state subjected to a measurement represented by the spin-coherent-state (SCS) positive-operator-valued measure (POVM). As […]
Quantum 7, 1084 (2023). https://doi.org/10.22331/q-2023-08-16-1084 Solving for quantum ground states is important for understanding the properties of quantum many-body systems, and quantum computers are potentially well-suited for solving for quantum ground states. Recent work [1] […]
Quantum 7, 1083 (2023). https://doi.org/10.22331/q-2023-08-16-1083 A physical system is said to satisfy a thermal area law if the mutual information between two adjacent regions in the Gibbs state is controlled by the area of their […]
Quantum 7, 1082 (2023). https://doi.org/10.22331/q-2023-08-16-1082 Bosonic encoding of quantum information into harmonic oscillators is a hardware efficient approach to battle noise. In this regard, oscillator-to-oscillator codes not only provide an additional opportunity in bosonic encoding, […]
Quantum 7, 1081 (2023). https://doi.org/10.22331/q-2023-08-10-1081 We consider the problem of approximating the ground state energy of a fermionic Hamiltonian using a Gaussian state. In sharp contrast to the dense case [1, 2], we prove that […]
Quantum 7, 1080 (2023). https://doi.org/10.22331/q-2023-08-10-1080 How to understand the set of correlations admissible in nature is one outstanding open problem in the core of the foundations of quantum theory. Here we take a complementary viewpoint […]
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