Mengyao Hu
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Mengyao Hu has a total of 9 co-authors. Here are the top co-authors by number of shared publications:
- Lin Chen
Beihang University
12 shared publications Xiaoyu Chen
SKLSDE BDBC and School of Mathematical Sciences LMIB Beihang University 100191 Beijing China
4 shared publicationsMengfan Liang
Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China
2 shared publications- Mengfan Liang
LMIB and School of Mathematical Sciences, Beihang University, Beijing, China
2 shared publications - Xian Shi
Beijing University of Chemical Technology
2 shared publications - Yize Sun
School of Mathematical Sciences Beihang University 100191 Beijing China
2 shared publications
Latest Publications
- 27 April 2022
- Published by Springer Nature in Quantum Information Processing
- Vol. 21 (5) , 1-19
Genuine entanglement, distillability and quantum information masking under noise
- 27 April 2022
- Published by Springer Nature in Quantum Information Processing
- Vol. 21 (5) , 1-19
Genuine entanglement, distillability and quantum information masking under noise
- Open Access
$H_2$-reducible matrices in six-dimensional mutually unbiased bases
Finding four six-dimensional mutually unbiased bases (MUBs) containing the identity matrix is a long-standing open problem in quantum information. We show that if they exist, then the $H_2$-reducible matrix in the four MUBs has exactly nine $2\times2$ Hadamard submatrices. We apply our result to exclude from the four MUBs some known CHMs, such as symmetric $H_2$-reducible matrix, the Hermitian matrix, Dita family, Bjorck's circulant matrix, and Szollosi family. Our results represent the latest progress on the existence of six-dimensional MUBs.Open Access$H_2$-reducible matrices in six-dimensional mutually unbiased bases
Finding four six-dimensional mutually unbiased bases (MUBs) containing the identity matrix is a long-standing open problem in quantum information. We show that if they exist, then the $H_2$-reducible matrix in the four MUBs has exactly nine $2\times2$ Hadamard submatrices. We apply our result to exclude from the four MUBs some known CHMs, such as symmetric $H_2$-reducible matrix, the Hermitian matrix, Dita family, Bjorck's circulant matrix, and Szollosi family. Our results represent the latest progress on the existence of six-dimensional MUBs. - 22 October 2021
- Published by Springer Nature in Quantum Information Processing
- Vol. 20 (10) , 1-11
$H_2$-reducible matrices in six-dimensional mutually unbiased bases- 22 October 2021
- Published by Springer Nature in Quantum Information Processing
- Vol. 20 (10) , 1-11
$H_2$-reducible matrices in six-dimensional mutually unbiased bases- 28 July 2021
- Published by American Physical Society (APS) in Physical Review A
- Vol. 104 (1) , 012426
Multilinear monogamy relations for multiqubit states
The monogamy of entanglement means that entanglement cannot be freely shared. In 2014, Oliveira et al. [T. R. de Oliveira, M. F. Cornelio, and F. F. Fanchini, Phys. Rev. A 89, 034303 (2014)] proposed a monogamy relation in the linear version and considered it in terms of entanglement of formation. Here we generalize the above version and consider a multilinear monogamy relation for a multiqubit system in terms of entanglement of formation and concurrence. Based on the above results, we present an entanglement criterion for genuine entangled states; also we consider the absolutely maximally entangled states and present what an absolutely maximally entangled state is for a three-qubit system. Last, we apply our results to a three-qubit pure state in terms of quantum discord.
- 28 July 2021
- Published by American Physical Society (APS) in Physical Review A
- Vol. 104 (1) , 012426
Multilinear monogamy relations for multiqubit states
The monogamy of entanglement means that entanglement cannot be freely shared. In 2014, Oliveira et al. [T. R. de Oliveira, M. F. Cornelio, and F. F. Fanchini, Phys. Rev. A 89, 034303 (2014)] proposed a monogamy relation in the linear version and considered it in terms of entanglement of formation. Here we generalize the above version and consider a multilinear monogamy relation for a multiqubit system in terms of entanglement of formation and concurrence. Based on the above results, we present an entanglement criterion for genuine entangled states; also we consider the absolutely maximally entangled states and present what an absolutely maximally entangled state is for a three-qubit system. Last, we apply our results to a three-qubit pure state in terms of quantum discord.
- Open Access
Multi-linear Monogamy Relations for Three Qubit States
The monogamy of entanglement means that entanglement cannot be freely shared. In 2014, Oliveira et al. [ Oliveira et al., Phys. Rev. A. 89, 034303 (2014)] proposed a monogamy relation in the linear version and considered it in terms of entanglement of formation. Here we generalize the above version and consider a multi-linear monogamy relation for a multi-qubit system in terms of entanglement of formation and concurrence. Based on the above results, we present an entanglement criterion for genuine entangled states, also we consider the absolutely maximally entangled states and present what an absolutely maximally entangled state is for a three-qubit system. At last, we apply our results to a three-qubit pure state in terms of quantum discord.
Open AccessMulti-linear Monogamy Relations for Three Qubit States
The monogamy of entanglement means that entanglement cannot be freely shared. In 2014, Oliveira et al. [ Oliveira et al., Phys. Rev. A. 89, 034303 (2014)] proposed a monogamy relation in the linear version and considered it in terms of entanglement of formation. Here we generalize the above version and consider a multi-linear monogamy relation for a multi-qubit system in terms of entanglement of formation and concurrence. Based on the above results, we present an entanglement criterion for genuine entangled states, also we consider the absolutely maximally entangled states and present what an absolutely maximally entangled state is for a three-qubit system. At last, we apply our results to a three-qubit pure state in terms of quantum discord.
- 8 March 2021
- Published by Springer Nature in Quantum Information Processing
- Vol. 20 (3) , 1-13
Constructing three-qubit unitary gates in terms of Schmidt rank and CNOT gates
- 8 March 2021
- Published by Springer Nature in Quantum Information Processing
- Vol. 20 (3) , 1-13
Constructing three-qubit unitary gates in terms of Schmidt rank and CNOT gates
- 2 October 2020
- Published by American Physical Society (APS) in Physical Review A
- Vol. 102 (4) , 042202
Strong quantum nonlocality with entanglement
Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems through the notion of local irreducibility in all bipartitions. Known existing results for sets of strongly nonlocal orthogonal states are limited to product states. In this paper, based on the Rubik's cube, we give a construction of such sets consisting of entangled states in for all . Consequently, we answer an open problem given by Halder et al. [ Phys. Rev. Lett. 122, 040403 (2019)], that is, orthogonal entangled bases that are strongly nonlocal do exist. Furthermore, we propose two entanglement-assisted protocols for local discrimination of our results. Each protocol consumes less entanglement resources than the teleportation-based protocol on average. Our results exhibit the phenomenon of strong quantum nonlocality with entanglement.- 2 October 2020
- Published by American Physical Society (APS) in Physical Review A
- Vol. 102 (4) , 042202
Strong quantum nonlocality with entanglement
Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems through the notion of local irreducibility in all bipartitions. Known existing results for sets of strongly nonlocal orthogonal states are limited to product states. In this paper, based on the Rubik's cube, we give a construction of such sets consisting of entangled states in for all . Consequently, we answer an open problem given by Halder et al. [ Phys. Rev. Lett. 122, 040403 (2019)], that is, orthogonal entangled bases that are strongly nonlocal do exist. Furthermore, we propose two entanglement-assisted protocols for local discrimination of our results. Each protocol consumes less entanglement resources than the teleportation-based protocol on average. Our results exhibit the phenomenon of strong quantum nonlocality with entanglement.- 24 August 2020
- Published by Springer Nature in Quantum Information Processing
- Vol. 19 (9) , 1-17
Locally maximally mixed states
- 24 August 2020
- Published by Springer Nature in Quantum Information Processing
- Vol. 19 (9) , 1-17
Locally maximally mixed states
- Open Access
Constructing three-qubit unitary gates in terms of Schmidt rank and CNOT gates
It is known that every two-qubit unitary operation has Schmidt rank one, two or four, and the construction of three-qubit unitary gates in terms of Schmidt rank remains an open problem. We explicitly construct the gates of Schmidt rank from one to seven. It turns out that the three-qubit Toffoli and Fredkin gate respectively have Schmidt rank two and four. As an application, we implement the gates using quantum circuits of CNOT gates and local Hadamard and flip gates. In particular, the collective use of three CNOT gates can generate a three-qubit unitary gate of Schmidt rank seven in terms of the known Strassen tensor from multiplicative complexity. Our results imply the connection between the number of CNOT gates for implementing multiqubit gates and their Schmidt rank.
Open AccessConstructing three-qubit unitary gates in terms of Schmidt rank and CNOT gates
It is known that every two-qubit unitary operation has Schmidt rank one, two or four, and the construction of three-qubit unitary gates in terms of Schmidt rank remains an open problem. We explicitly construct the gates of Schmidt rank from one to seven. It turns out that the three-qubit Toffoli and Fredkin gate respectively have Schmidt rank two and four. As an application, we implement the gates using quantum circuits of CNOT gates and local Hadamard and flip gates. In particular, the collective use of three CNOT gates can generate a three-qubit unitary gate of Schmidt rank seven in terms of the known Strassen tensor from multiplicative complexity. Our results imply the connection between the number of CNOT gates for implementing multiqubit gates and their Schmidt rank.
- 11 December 2019
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 69 (15) , 2908-2925
Real entries of complex Hadamard matrices and mutually unbiased bases in dimension six
We investigate the number of real entries of an complex Hadamard matrix. We analytically derive the numbers when n = 2, 3, 4, 6. In particular, the number can be any one of 0–22, 24, 25, 26, 30 for n = 6. We apply our result to the existence of four mutually unbiased bases in dimension six, which is a long-standing open problem in quantum physics and information. We show that if four MUBs containing the identity matrix exist then the real entries in any one of the remaining three matrices do not exceed 22.- 11 December 2019
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 69 (15) , 2908-2925
Real entries of complex Hadamard matrices and mutually unbiased bases in dimension six
We investigate the number of real entries of an complex Hadamard matrix. We analytically derive the numbers when n = 2, 3, 4, 6. In particular, the number can be any one of 0–22, 24, 25, 26, 30 for n = 6. We apply our result to the existence of four mutually unbiased bases in dimension six, which is a long-standing open problem in quantum physics and information. We show that if four MUBs containing the identity matrix exist then the real entries in any one of the remaining three matrices do not exceed 22.