TY - JOUR

T1 - Simulating quantum operations with mixed environments

AU - Terhal, Barbara M.

AU - Chuang, Isaac L.

AU - DiVincenzo, David P.

AU - Grassl, Markus

AU - Smolin, John A.

PY - 1999

Y1 - 1999

N2 - We study the physical quantum resources required to implement general quantum operations, and provide bounds on the minimum possible size which an environment must be in order to perform certain quantum operations. We prove that contrary to a previous conjecture, not all quantum operations on a single qubit can be implemented with a single-qubit environment, even if that environment is initially prepared in a mixed state. We show that a mixed single-qutrit environment is sufficient to implement a special class of operations, the generalized depolarizing channels.

AB - We study the physical quantum resources required to implement general quantum operations, and provide bounds on the minimum possible size which an environment must be in order to perform certain quantum operations. We prove that contrary to a previous conjecture, not all quantum operations on a single qubit can be implemented with a single-qubit environment, even if that environment is initially prepared in a mixed state. We show that a mixed single-qutrit environment is sufficient to implement a special class of operations, the generalized depolarizing channels.

UR - http://www.scopus.com/inward/record.url?scp=0005135565&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.60.881

DO - 10.1103/PhysRevA.60.881

M3 - Article

AN - SCOPUS:0005135565

VL - 60

SP - 881

EP - 885

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

SN - 1050-2947

IS - 2

ER -