Time independent universal computing with spin chains: quantum plinko machine

被引：16

作者：

Thompson, K. F. ^{[1
]}

Gokler, C. ^{[1
]}

Lloyd, S. ^{[2
]}

Shor, P. W. ^{[3
]}

机构：

[1] Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA

[2] MIT, Dept Mech Engn, Room 3-160,77 Massachusetts Ave, Cambridge, MA 02139 USA

[3] MIT, Dept Math, Room 2-075,77 Massachusetts Ave, Cambridge, MA 02139 USA

来源：

NEW JOURNAL OF PHYSICS | 2016年 / 18卷

基金：

美国国家科学基金会;

关键词：

universal quantum computation; Hamiltonian quantum computing; quantum communication; STATE TRANSFER; COMPUTATION; EFFICIENT; PERFECT;

D O I：

10.1088/1367-2630/18/7/073044

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a scheme for universal quantum computing using XY Heisenberg spin chains. Information is encoded into packets propagating down these chains, and they interact with each other to perform universal quantum computation. A circuit using g gate blocks on m qubits can be encoded into chains of length O(g(3+delta)m(3+delta)) for all delta > 0 with vanishingly small error.

引用

页数：25

共 50 条

[31] Universal entanglement spectra in critical spin chains
Lundgren, Rex
Blair, Jonathan
Laurell, Pontus
Regnault, Nicolas
Fiete, Gregory A.
Greiter, Martin
Thomale, Ronny
PHYSICAL REVIEW B, 2016, 94 (08)
[32] Universal quantum computing using single-particle discrete-time quantum walk
Shivani Singh
Prateek Chawla
Anupam Sarkar
C. M. Chandrashekar
Scientific Reports, 11
[33] Universal quantum computing using single-particle discrete-time quantum walk
Singh, Shivani
Chawla, Prateek
Sarkar, Anupam
Chandrashekar, C. M.
SCIENTIFIC REPORTS, 2021, 11 (01)
[34] Quantum spin chains with quantum group symmetry
Fannes, M
Nachtergaele, B
Werner, RF
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 174 (03) : 477 - 507
[35] QUANTUM LOOP MODULES AND QUANTUM SPIN CHAINS
ALTSCHULER, D
DAVIES, B
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1994, 9 (22): : 3925 - 3958
[36] Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
Heidrich-Meisner, F.
Sergienko, I. A.
Feiguin, A. E.
Dagotto, E. R.
PHYSICAL REVIEW B, 2007, 75 (06)
[37] Universal low-energy behavior of disordered quantum spin chains: Exact analytic results
Zvyagin, AA
PHYSICAL REVIEW B, 2000, 62 (10) : R6069 - R6072
[38] The Magic of Universal Quantum Computing with Permutations
Planat, Michel
Haq, Rukhsan Ul
ADVANCES IN MATHEMATICAL PHYSICS, 2017, 2017
[39] Universal terminal for cloud quantum computing
Khazali, Mohammadsadegh
SCIENTIFIC REPORTS, 2024, 14 (01):
[40] Concepts of spin quantum computing
Mehring, M
APPLIED MAGNETIC RESONANCE, 1999, 17 (2-3) : 141 - 172

← 1 2 3 4 5 →