Fault-tolerant quantum computation requires non-Clifford gates, which stabilizer codes cannot supply transversally. Non-stabilizer codes are the natural place to look for them, yet no quantitative theory of the nonstabilizerness (or magic) carried by such a code has existed. We develop one for codeword-stabilized (CWS)...
With the rapid growth of data-intensive computing, optical computing has become an important method for information processing with high bandwidth, low latency, and parallel operation. Early implementations were bench-top free-space systems, in which lenses, masks, and holograms were used to perform Fourier filtering,...
Tian-Wei Wang, Yi-Yi Zhu, Wei-Wei Liu et al.· PhotoniX· 0 citations
Nonstabilizerness (magic) is the quantum resource that, together with stabilizer operations, makes universal quantum computation possible. It appears in fault-tolerant codes and topological order. However, quantifying nonstabilizerness is difficult. The standard measure sums over exponentially many Pauli operators, and...
The recovery of quantum information after subsystem loss is a central challenge in quantum information processing. However, some states remain beyond the reach of any recovery strategies. Here we identify the algebraic origin of virtual irrecoverability, the \emph{ghost information}---correlations encoded in the global...
The recovery of quantum information after subsystem loss is a central challenge in quantum information processing. However, some states remain beyond the reach of any recovery strategies. Here we identify the algebraic origin of irrecoverability, the ghost information---correlations encoded in the global state that lea...
Yuan Liu, Linhan Lin, Ke-Mi Xu· 1 citation
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