Da Zhao

activity

20172021

collaborators

8 papers

quant-ph2021

Quantum circuits for exact unitary $t$ -designs and applications to higher-order randomized benchmarking

Yoshifumi Nakata, Da Zhao, Takayuki Okuda +9

A unitary $t$ -design is a powerful tool in quantum information science and fundamental physics. Despite its usefulness, only approximate implementations were known for general $t$ .…

math.CO2020

Classification of partially metric Q-polynomial association schemes with $m_{1} = 4$

Da Zhao

We classify the Q-polynomial association schemes with $m_{1} = 4$ which are partially metric with respect to the nearest neighbourhood relation. An association scheme is partially…

math.CO2020

Explicit construction of exact unitary designs

Eiichi Bannai, Yoshifumi Nakata, Takayuki Okuda +1

The purpose of this paper is to give explicit constructions of unitary $t$ -designs in the unitary group $U (d)$ for all $t$ and $d$ . It seems that the explicit constructions were so…

math.CO2020

The complex conjugate invariants of Clifford groups

Eiichi Bannai, Manabu Oura, Da Zhao

Nebe, Rains and Sloane studied the polynomial invariants for real and complex Clifford groups and they relate the invariants to the space of complete weight enumerators of certain…

quant-ph2019

On the explicit constructions of certain unitary $t$ -designs

Eiichi Bannai, Mikio Nakahara, Da Zhao +1

Unitary $t$ -designs are `good' finite subsets of the unitary group $U (d)$ that approximate the whole unitary group $U (d)$ well. Unitary $t$ -designs have been applied in randomized…

math.CO2019

Integral graphs obtained by dual Seidel switching

Sergey Goryainov, Elena V. Konstantinova, Honghai Li +1

Dual Seidel switching is a graph operation introduced by W.~Haemers in 1984. This operation can change the graph, however it does not change its bipartite double, and because of th…

Quantum circuits for exact unitary t-designs and applications to higher-order randomized benchmarking

Classification of partially metric Q-polynomial association schemes with m1​=4

Explicit construction of exact unitary designs

The complex conjugate invariants of Clifford groups

On the explicit constructions of certain unitary t-designs

Integral graphs obtained by dual Seidel switching

Quantum circuits for exact unitary $t$ -designs and applications to higher-order randomized benchmarking

Classification of partially metric Q-polynomial association schemes with $m_{1} = 4$

On the explicit constructions of certain unitary $t$ -designs