公开(公告)号：US11923870B2

公开(公告)日：2024-03-05

申请号：US17511626

申请日：2021-10-27

Applicant: National Applied Research Laboratories

Inventor： Zheng-Yao Su ,  Ming-Chung Tsai

IPC: H03M13/00 ,  G06N10/00 ,  H03M13/15

CPC classification number: H03M13/157 ,  G06N10/00

Abstract: A method for constructing an n-qubit fault tolerant encode for any k-qubit quantum gate M, in any given quantum code [n, k, C], comprising: choosing a number n−k of independent spinors Sr from the first stabilizer C and a first ordered set SC consists of the independent spinors Sr; choosing a number n−k of independent spinors Ŝr from a second stabilizer Ĉ in the intrinsic coordinate and a second ordered set Ŝr consists of the independent spinors Ŝr consist; implementing an encoding Qen, wherein the encoding Qen converts the first ordered set SC to the second ordered set SĈ, wherein the encoding Qen is a sequential product provided by sequential operations of a number n−k of unitary operators Qr; wherein each of the unitary operator Qr is composed of a single s-rotation or a product of two s-rotations; and wherein the encoding Qen converts and maps the rth independent spinor Sr in the first ordered set SC to the rth independent spinor Ŝr in the second ordered set SĈ correspondingly; a fault tolerant action Û in the quantum code [n, k, C] generated by the second stabilizer Ĉ in the intrinsic coordinate, wherein the fault tolerant action Û is a direct sum of a basis state operator Λ and a correction operator Ω; and acquiring a fault tolerant encode in the quantum code [n, k, C] generated by the first stabilizer C, wherein the fault tolerant encode is a sequential product of the encoding Qen, the fault tolerant action Û and a complex conjugate Qen† of the encoding Qen.

公开(公告)号：US20230188343A1

公开(公告)日：2023-06-15

申请号：US18077262

申请日：2022-12-08

Applicant: National Applied Research Laboratories

Inventor： Zheng-Yao Su ,  Ming-Chung Tsai

IPC: H04L9/30 ,  H04L9/00

CPC classification number: H04L9/3066 ,  H04L9/008 ,  H04L2209/46

Abstract: A method of designing a multi-party system in quotient algebra partition-based homomorphic encryption (QAPHE), which is based on the framework of quotient algebra partition (QAP) and the computation of homomorphic encryption (HE), wherein the method comprises: increasing single model provider A to multiple ones, wherein the number of the multiple model providers is L and let A1≤i≤L and L≥2; increasing single data provider B to multiple ones, wherein the number of the multiple data providers is R and let B1≤j≤R and R≥2; and encoding plaintexts, each of which is of kj qubits, from all data providers into ciphertexts respectively; aggregating the ciphertexts by a form of tensor product and generating an encoded state for computation; and preparing a model operation to conduct the encrypted computation via an encoded operator and the encoded state in a cloud. The method can improve the security of public-key/semi-public-key system and be applied to a threshold HE or a multi-key HE to solve actual problems.