In the right place

David Cohen

Ph. Blanchard, Arkadiusz Jadczyk

S. Yamasaki, T. Kebukawa, Sigenobu Sunakawa

1) Equation (2·8) should read к×vк=0. 2) The summand in the first term ori the right-hand side of Eq. (2·9) should be supplemented by a factor δ0,p+q. 3) Every summation symbol Σ in Eqs. (3·7) and (3·14) should be replaced by Σ′. 4) The inner product (p·s) in the expression for FII(3, 11) (p, q, r; s) in Eq. (3·25) should be followed by a factor √λqλrλs/λp in place of √λpλrλs/λp. 6) On the right-hand side of (4·22), the factor 2 should be dropped from the second term in the square bracket [⋯]. 7) The denominator (Zλ0)2 on the right-hand side of (4·23) should be replaced by (4λ0)2). 8) The first term in the square bracket [⋯] in Eq. (4·24) should read (1-λ02) in place of (1-λ0)2. 10) The last term on the right-hand side of Eq. (A·1) should be multiplied by 2.

Yoshihiro Anahara, Norio Konno, Hisashi Morioka +1 more

We consider the stationary state of a quantum walk on the finite path, where the sink and source are set at the left and right boundaries. The quantum coin is uniformly placed at every vertex of the path graph. At every time step, a new quantum walker penetrates into the internal from the left boundary and also some existing quantum walkers in the internal goes out to the sinks located in the left and right boundaries. The square modulus of the stationary state at each vertex is regarded as the comfortability for a quantum walker to this vertex in this paper. We show the weak convergence theorem for the scaled limit distribution of the comfortability in the limit of the length of the path.