Port-based teleportation in arbitrary dimension

被引：0
作者：
Michał Studziński
Sergii Strelchuk
Marek Mozrzymas
Michał Horodecki
机构：
[1] DAMTP,
[2] Centre for Mathematical Sciences,undefined
[3] University of Cambridge,undefined
[4] Institute for Theoretical Physics,undefined
[5] University of Wrocław,undefined
[6] Institute of Theoretical Physics and Astrophysics,undefined
[7] National Quantum Information Centre,undefined
[8] Faculty of Mathematics,undefined
[9] Physics and Informatics,undefined
[10] Univeristy of Gdańsk,undefined
来源：
Scientific Reports | / 7卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Port-based teleportation (PBT), introduced in 2008, is a type of quantum teleportation protocol which transmits the state to the receiver without requiring any corrections on the receiver’s side. Evaluating the performance of PBT was computationally intractable and previous attempts succeeded only with small systems. We study PBT protocols and fully characterize their performance for arbitrary dimensions and number of ports. We develop new mathematical tools to study the symmetries of the measurement operators that arise in these protocols and belong to the algebra of partially transposed permutation operators. First, we develop the representation theory of the mentioned algebra which provides an elegant way of understanding the properties of subsystems of a large system with general symmetries. In particular, we introduce the theory of the partially reduced irreducible representations which we use to obtain a simpler representation of the algebra of partially transposed permutation operators and thus explicitly determine the properties of any port-based teleportation scheme for fixed dimension in polynomial time.
引用
收藏
相关论文
共 44 条
[1]  
Bennett CH(1993)Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels Physical Review Letters 70 1895-1899
[2]  
Boschi D(1998)Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels Physical Review Letters 80 1121-1125
[3]  
Branca S(1999)Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations Nature 402 390-393
[4]  
De Martini F(2007)Novel Schemes for Measurement-Based Quantum Computation Physical Review Letters 98 46-52
[5]  
Hardy L(2001)A scheme for efficient quantum computation with linear optics Nature 409 641-652
[6]  
Popescu S(2015)Advances in quantum teleportation Nature Photonics 9 5188-5191
[7]  
Gottesman D(2015)One-Way Quantum Computer Physical Review Letters 86 4287-4290
[8]  
Chuang IL(1993)“Event-ready-detectors” Bell experiment via entanglement swapping Physical Review Letters 71 3191-3196
[9]  
Gross D(2008)Asymptotic Teleportation Scheme as a Universal Programmable Quantum Processor Physical Review Letters 101 undefined-undefined
[10]  
Eisert J(2009)Quantum teleportation scheme by selecting one of multiple output ports Physical Review A 79 undefined-undefined
12345