TY - JOUR
T1 - Quantum reference frames associated with noncompact groups
T2 - the case of translations and boosts and the role of mass
AU - Smith, Alexander R. H.
AU - Piani, Marco
AU - Mann, Robert B.
PY - 2016/7/18
Y1 - 2016/7/18
N2 - Quantum communication without a shared reference frame or the construction of a relational quantum theory requires the notion of a quantum reference frame. We analyze aspects of quantum reference frames associated with noncompact groups, specifically, the group of spatial translations and Galilean boosts. We begin by demonstrating how the usually employed group average, used to dispense of the notion of an external reference frame, leads to unphysical states when applied to reference frames associated with noncompact groups. However, we show that this average does lead naturally to a reduced state on the relative degrees of freedom of a system, which was previously considered by Angelo et al. [J. Phys. A: Math. Theor. 44, 145304 (2011) doi.org/10.1088/1751-8113/44/14/145304]. We then study in detail the informational properties of this reduced state for systems of two and three particles in Gaussian states.
AB - Quantum communication without a shared reference frame or the construction of a relational quantum theory requires the notion of a quantum reference frame. We analyze aspects of quantum reference frames associated with noncompact groups, specifically, the group of spatial translations and Galilean boosts. We begin by demonstrating how the usually employed group average, used to dispense of the notion of an external reference frame, leads to unphysical states when applied to reference frames associated with noncompact groups. However, we show that this average does lead naturally to a reduced state on the relative degrees of freedom of a system, which was previously considered by Angelo et al. [J. Phys. A: Math. Theor. 44, 145304 (2011) doi.org/10.1088/1751-8113/44/14/145304]. We then study in detail the informational properties of this reduced state for systems of two and three particles in Gaussian states.
UR - http://www.scopus.com/inward/record.url?scp=84978924076&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.94.012333
DO - 10.1103/PhysRevA.94.012333
M3 - Article
AN - SCOPUS:84978924076
SN - 1050-2947
VL - 94
SP - 1
EP - 10
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 012333
ER -