Erratum: Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED [Phys. Rev. A<b>67</b>, 024304 (2003)]

Zou, Xu‐Bo; Pahlke, K.; Mathis, Wolfgang

doi:10.1103/physreva.70.039903

Cited by 17 publications

(26 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Different from classical information, quantum information cannot be copied, it is so-called no-cloning theorem [11], which is a direct consequence of the linearity of quantum theory, states that it is impossible to prepare several exact copies (or clones) of an unknown quantum state. Although exact cloning is forbidden, one can design various quantum cloning machines which produce approximate clones [12][13][14][15][16][17][18][19]. For example, Bužk and Hiller was originally addressed universal quantum cloning machines [12] which is designed to generate approximate clones of states belonging to a finite set, Duan and Guo [13] firstly proposed the probabilistic cloning machine and so on.…”

Section: Introductionmentioning

confidence: 98%

“…For example, Bužk and Hiller was originally addressed universal quantum cloning machines [12] which is designed to generate approximate clones of states belonging to a finite set, Duan and Guo [13] firstly proposed the probabilistic cloning machine and so on. The other category of quantum cloning machines were developed by some authors [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

“…In the process of developing quantum information theory, probabilistic cloning has attracted much attention both in theoretical and experimental aspects. For this kind of the imperfect cloning, various protocol has proposed [12][13][14][15][16][17][18][19][20][21][22][23][24]. In 2000, Pati [20] proposed a scheme where one can produce perfect copies and orthogonal-complement copies of an arbitrary unknown state with minimal assistance from a state preparer.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scheme for Cloning an Unknown Entangled State with Assistance via Non-maximally Entangled Cluster States

Hou

Shou-Hua

2008

Int J Theor Phys

View full text Add to dashboard Cite

We propose a scheme for cloning unknown two-particle entangled state and its orthogonal complement state with assistance from a state preparer. Two stages were included in this scheme. The first stage requires usual teleportation by using a one-dimensional nonmaximally four-particle cluster state as quantum channel, after Alice's (the state sender) Bell measurement, Bob (the state receiver) can get the original state with certain probability. In the second stage, after having received Victor's (the state preparer) classical message, the perfect copies and complement copies of an unknown state can be produced in Alice's place, the probability of Alice to get the original state or its orthogonal complement state are calculated. Assisted cloning of an arbitrary unknown two-particle entangled state is discussed in the latter scheme.

show abstract

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Scheme for Cloning an Unknown Entangled State with Assistance via Non-maximally Entangled Cluster States

Hou

Shou-Hua

2008

Int J Theor Phys

View full text Add to dashboard Cite

show abstract

“…However, quantum cloning or approximate cloning is necessary in some quantum information processes [19]. Hence, in literatures various approximate cloning machines have been proposed [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], which operate either in a deterministic or probabilistic way. Very recently Zhan [35] has proposed two quantum cloning protocols.…”

mentioning

confidence: 99%

Assisted Cloning and Orthogonal Complementing of an Arbitrary Unknown Two-qubit Entangled State via Positive Operator-valued Measure

Xiao-Fei¹

2009

Int J Theor Phys

View full text Add to dashboard Cite

By using positive operator-valued measure (POVM) instead of the more commonly used collective unitary operation in the quantum teleportation process, Zhan's scheme (Zhan in Phys. Lett. A 336:317, 2005) is generalized to treat an arbitrary (not a special class of ) unknown two-qubit entangled state. Generally speaking, conditioned on Victor's classical message, Alice can create either a copy or an orthogonal-complement copy of the original state. However, it is shown that Alice's perfect clone can be realized with higher probability or even in a deterministic manner via an appropriate unitary operation provided that the state to be cloned is chosen from six special ensembles.Keywords Quantum cloning · Arbitrary two-qubit entangled state · Two-qubit projective measurement · Positive operator-valued measure · Unitary operationThe principles of quantum mechanics supplied many interesting application in the field of information in the last decade, such as quantum computer [1, 2], quantum cryptography [2-5], quantum teleportation [6], quantum secret sharing (QSS) [7][8][9][10][11][12][13][14], and so on. One of the greatest differences between classical and quantum information is that while classical information can be copied perfectly, quantum cannot. In particular, one can not create a duplicate of an arbitrary qubit without destroying the original one [15]. This follows from the no-cloning theorem of Wootters and Zurek [16] (see also [17,18]). However, quantum cloning or approximate cloning is necessary in some quantum information processes [19]. Hence, in literatures various approximate cloning machines have been proposed [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], which operate either in a deterministic or probabilistic way. Very recently Zhan [35] has proposed two quantum cloning protocols. In his first protocol, two maximally entangled two-qubit states (i.e., Bell states) are taken as quantum channel, and a perfect clone of a special class of unknown two-qubit entangled state (i.e., α|00 + β|11 with |α| 2 + |β| 2 = 1) or implementation of its complement state is realized with assistance offered by the unknown N. Xiao-Fei ( )

show abstract

“…[15], the networks are also constructed for some kinds of state-dependent cloning machine [16]. Recently, several schemes for realization of universal quantum cloning machine have been suggested with quantum optics [17] and cavity QED [18], and experiments have been performed with linear optics [19], parametric down conversion [20], and NMR [21].…”

Section: Introductionmentioning

confidence: 99%

Scheme for the implementation of optimal cloning of two pairs of orthogonal states

Cao

Song

2004

Physics Letters A

View full text Add to dashboard Cite

show abstract

Erratum: Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED [Phys. Rev. A67, 024304 (2003)]

Cited by 17 publications

References 0 publications

Scheme for Cloning an Unknown Entangled State with Assistance via Non-maximally Entangled Cluster States

Scheme for Cloning an Unknown Entangled State with Assistance via Non-maximally Entangled Cluster States

Assisted Cloning and Orthogonal Complementing of an Arbitrary Unknown Two-qubit Entangled State via Positive Operator-valued Measure

Scheme for the implementation of optimal cloning of two pairs of orthogonal states

Contact Info

Product

Resources

About