On the disentanglement of states

Mor, Tal

On the disentanglement of states

Tal Mor
(
- UCLA
)

Dec, 1998

4 pages

e-Print:

quant-ph/9812020 [quant-ph]

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Abstract: (arXiv)

Disentanglement is the process which transforms a state

\rho

of two subsystems into an unentangled state, while not effecting the reduced density matrices of each of the two subsystems. Recently Terno showed that an arbitrary state cannot be disentangled into a tensor product of its reduced density matrices. In this letter we present various novel results regarding disentanglement of states. Our main result is that there are sets of states which cannot be successfuly disentangled (not even into a separable state). Thus, we prove that a universal disentangling machine cannot exist.

Note:

4 pages, RevTeX; email: talmo@ee.ucla.edu

References(10)

Figures(0)

1= p

[2]

[j 00i+ j 11i] j

3i= j+ + i ( 25) i n whi ch we added t he s t at es j 3i t o t he pr evi ous s et. Thi ss etofs t at escannotbe di s ent angl

[4]

Ci ted i n [1]f orpri vate com m uni cati on

C.A.Fuchs

[5]

W. K. W ootters and W. H. Zurek, N ature 299, 802

[6]

C. W. H el strom, Q uant um D et ect i on and Est i m at i on Theory (A cadem i

N. c Press

[7]

acher,Phys.R ev Lett.76,2818

H. Barnum
,
C.M. Caves
,
C. A.Fuchs
,
R. Jozsa
,
B.Schum

[8]

Theobservati on ofthi ssi m i l ari t y i sdueto

C.H.Bennett

[9]

D.P.D i V i ncenzo,C.A.Fuchs,T.M or, E.R ai ns,P.W.Shor,J.S.Sm ol i n and W.K.W ootters, Q uant um nonl ocal i t y wi t houtent angl em ent,to bepubl i sh i n Phys.R ev.A.LosA l am osarchi ve,quant-

C.H.Bennett

[10]

T.M or,Phys.R ev Lett.80,3137