Dynamically Generated Logical Qubits

TL;DR: Hardware that exploits qubit connectivity in higher than 2D topologies to realize more efficient quantum error correcting codes, modular architectures for scaling QPUs and parallelizing workloads, and software that evolves to make the intricacies of the technology invisible to the users and realize the goal of ubiquitous, frictionless quantum computing are seen.

TL;DR: In this paper , a complexity hierarchy on long-range entangled states based on the minimal number of measurement layers required to create the state, which are called "shots", is presented.

TL;DR: In this paper, the robustness of the honeycomb code was quantified using a correlated minimum-weight perfect-matching decoder, and it was shown that the code can reach the teraquop regime with only $600$ physical qubits.

TL;DR: In this article , the authors distill the concept of a quantum advantage into a simple framework to aid researchers in biology and medicine pursuing the development of quantum applications, and apply this framework to a wide variety of computational problems relevant to these domains in an effort to assess the potential of practical advantages in specific application areas and identify gaps that may be addressed with novel quantum approaches.

TL;DR: This Letter identifies a gauge symmetry in Shor's 9-qubit code that allows us to remove 3 of its 8 stabilizer generators, leading to a simpler decoding procedure and a wider class of logical operations without affecting its essential properties, which opens the path to possible improvements of the error threshold of fault-tolerant quantum computing.

TL;DR: In this paper, it was shown that, for mixed initial states, a balanced competition between measurements and entangling interactions within the system can result in a dynamical purification phase transition between (i) a phase that locally purifies at a constant system-size independent rate, and (ii) a "mixed" phase where the purification time diverges exponentially in the system size.

TL;DR: A general mapping connecting suitable classical statistical mechanical models to optimal error correction in subsystem stabilizer codes that suffer from depolarizing noise is given.

TL;DR: In this article, a simplified version of the Kitaev's surface code was proposed, in which error correction requires only three-qubit parity measurements for Pauli operators XXX and ZZZ.