Semi-Quantum Blind Signature Against Collective Noise

Junhui Wang; Yunxia Li; Han Guo; Jiahua Wei

doi:10.3788/LOP202259.1927001

Journals >Laser & Optoelectronics Progress >Volume 59 >Issue 19 >Page 1927001 > Article

Laser & Optoelectronics Progress
Vol. 59, Issue 19, 1927001 (2022)

Semi-Quantum Blind Signature Against Collective Noise

Junhui Wang, Yunxia Li, Han Guo, and Jiahua Wei^*

Author Affiliations

Institute of Information and Navigation, Air Force Engineering University, Xi'an 710077, Shaanxi, China

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DOI: 10.3788/LOP202259.1927001 Cite this Article Set citation alerts

Junhui Wang, Yunxia Li, Han Guo, Jiahua Wei. Semi-Quantum Blind Signature Against Collective Noise[J]. Laser & Optoelectronics Progress, 2022, 59(19): 1927001 Copy Citation Text

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Fig. 1. Schematic of semi-quantum blind signature against collective noise

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Fig. 2. Schematic of semi-quantum blind signature network

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${\|φ〉}_{13}$ Bell measurement result	${\|φ〉}_{24}$ Bell measurement result	$K$
$\|ϕ^{+}〉$	$\|ϕ^{+}〉$	0
$\|ϕ^{+}〉$	$\|ϕ^{-}〉$	1
$\|ϕ^{-}〉$	$\|ϕ^{-}〉$	0
$\|ϕ^{-}〉$	$\|ϕ^{+}〉$	1

Table 1. Relation between Bell measurement results and

K

under collective-dephasing noise

${\|φ〉}_{13}$ Bell measurement result	${\|φ〉}_{24}$ Bell measurement result	$K$	${\|φ〉}_{13}$ Bell measurement result	${\|φ〉}_{24}$ Bell measurement result	$K$
$\|ϕ^{+}〉$	$\|ϕ^{+}〉$	0	$\|ψ^{+}〉$	$\|ψ^{+}〉$	1
$\|ϕ^{+}〉$	$\|ϕ^{-}〉$	1	$\|ψ^{+}〉$	$\|ψ^{-}〉$	1
$\|ϕ^{-}〉$	$\|ϕ^{-}〉$	1	$\|ψ^{-}〉$	$\|ψ^{-}〉$	0
$\|ϕ^{-}〉$	$\|ϕ^{+}〉$	1	$\|ψ^{-}〉$	$\|ψ^{+}〉$	1

Table 2. Relation between Bell measurement results and

K

under collective-rotation noise

Result of logical qubits with Z basis	$K_{S}$
$\|01〉$	0
$\|10〉$	1

Table 3. Rules of encoding

K_{S}

with collective-dephasing noise

Result of logical qubits with Z basis	$K_{S}$
$\|00〉$	0
$\|01〉$	1
$\|10〉$	1
$\|11〉$	0

Table 4. Rules of encoding

K_{S}

with collective-rotation noise

$m_{A}$	$s_{A}$
0	$\|01〉$
1	$\|10〉$

Table 5. Rules of Alice preparation of qubits

s_{A}

QuS A measurement result ${\|φ〉}_{35}$	QuS A measurement result ${\|φ〉}_{46}$	QuS B measurement result ${\|φ〉}_{12}$	QuS B
${\|ϕ^{+}〉}_{35} o r {\|ϕ^{-}〉}_{35}$	${\|ϕ^{+}〉}_{46} o r {\|ϕ^{-}〉}_{46}$	$\|01〉$	$\|01〉$
${\|ψ^{+}〉}_{35} o r {\|ψ^{-}〉}_{35}$	${\|ψ^{+}〉}_{46} o r {\|ψ^{-}〉}_{46}$	$\|10〉$	$\|01〉$
${\|ϕ^{+}〉}_{35} o r {\|ϕ^{-}〉}_{35}$	${\|ϕ^{+}〉}_{46} o r {\|ϕ^{-}〉}_{46}$	$\|10〉$	$\|10〉$
${\|ψ^{+}〉}_{35} o r {\|ψ^{-}〉}_{35}$	${\|ψ^{+}〉}_{46} o r {\|ψ^{-}〉}_{46}$	$\|01〉$	$\|10〉$

Table 6. Rules of QuS B receiving message with measurement of QuS A

Junhui Wang, Yunxia Li, Han Guo, Jiahua Wei. Semi-Quantum Blind Signature Against Collective Noise[J]. Laser & Optoelectronics Progress, 2022, 59(19): 1927001

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