Recursive Encoding and Decoding of Noiseless Subsystem and Decoherence Free Subspace

When the environmental disturbace to a quantum system has a wavelength much larger than the system size, all qubits localized within a small area are under action of the same error operators. Noiseless subsystem and decoherence free subspace are known to correct such collective errors. We construct simple quantum circuits, which implement these collective error correction codes, for a small number $n$ of physical qubits. A single logical qubit is encoded with $n=3$ and $n=4$, while two logical qubits are encoded with $n=5$. The recursive relations among the subspaces employed in noiseless subsystem and decoherence free subspace play essential r\^oles in our implementation. The recursive relations also show that the number of gates required to encode $m$ logical qubits increases linearly in $m$.Comment: 9 pages, 3 figure

Recovery in quantum error correction for general noise without measurement

It is known that one can do quantum error correction without syndrome measurement, which is often done in operator quantum error correction (OQEC). However, the physical realization could be challenging, especially when the recovery process involves high-rank projection operators and a superoperator. We use operator theory to improve OQEC so that the implementation can always be done by unitary gates followed by a partial trace operation. Examples are given to show that our error correction scheme outperforms the existing ones in various scenarios.Comment: 10 page

SEISMIC RETROFITTING METHOD FOR STEEL STRUCTURES BY KNEE BRACES JOINTED BY HIGH HARDNESS VISES

The authors have developed a new method of seismic retrofit for steel structures by adding knee braces which is jointed to the existing structures by vises with screw bolts made of high hardness metal. The slipping strength of the connection had been studied through axial tensile test of steel coupons jointed by the vises. The features of the connection by the vise are easy setup and providing the strength as much as by the normal bolts joint. An experimental study had been conducted for the specimens of steel frames retrofitted by knee braces. The knee brace was jointed to the steel frames by the vises. Two types of failure modes were investigated. One was slipping behavior at the connection and the other was bucking behavior at the knee braces. The strengths of the specimens were estimated by the simple calculations for the two types of failure modes

Downregulation of CD4 is required for maintenance of viral infectivity of HIV-1

AbstractDownregulation of virus receptors on the cell surface is considered to be important in preventing superinfection. HIV-1 encodes multiple gene products, Env, Vpu, and Nef, involved in downregulation of CD4, a major HIV-1 receptor. We found that simultaneous mutations in both vpu and nef severely impaired virus replication. We examined the involvement of CD4 downregulation mediated by Vpu and Nef in the modification of virus infectivity. The mutation in vpu increased CD4 incorporation into virions without affecting the Env content in it, inhibiting the attachment step of virions to the CD4-positive cell surface. Although a single mutation in nef suppresses virus infectivity via a CD4-independent mechanism, it could augment CD4 incorporation in virions in combination with a vpu mutation. These results indicated that CD4 downregulation was necessary for maintenance of Env function in the virion