Reference frames, superselection rules, and quantum information

By Stephen D. Bartlett, Terry Rudolph, Robert W. Spekkens. 2006

742 citations recorded by the source corpus.

Recently, there has been much interest in a new kind of 'unspeakable' quantum information that stands to regular quantum information in the same way that a direction in space or a moment in time stands to a classical bit string: the former can only be encoded using particular degrees of freedom while the latter are indifferent to the physical nature of the information carriers. The problem of correlating distant reference frames, of which aligning Cartesian axes and synchronizing clocks are important instances, is an example of a task that requires the exchange of unspeakable information and for which it is interesting to determine the fundamental quantum limit of efficiency. There have also been many investigations into the information theory that is appropriate for parties that lack reference frames or that lack correlation between their reference frames, restrictions that result in global and local superselection rules. In the presence of these, quantum unspeakable information becomes a new kind of resource that can be manipulated, depleted, quantified, etc. Methods have also been developed to contend with these restrictions using relational encodings, particularly in the context of computation, cryptography, communication, and the manipulation of entanglement. This paper reviews the role of reference framesmore » and superselection rules in the theory of quantum-information processing.« less

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/74bd36ab0c28a31f5ee926a8ed44a87a3b35a725

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum coherence and geometric quantum discord (2017, background): “…but can also provides the basis for its potential applications in a wide variety of promising subjects, such as quantum thermodynamics (Gour et al., 2015; Lostaglio et al., 2015a,b; Narasimhachar and Gour, 2015), reference frames (Bartlett et al., 2007), and quantum biology (Lambert et al., 2013).”
The resource theory of informational nonequilibrium in thermodynamics (2013, background): “…resource theory of entanglement (Horodecki et al., 2009), the restriction to symmetric quantum operations defines the resource theory of asymmetry (Bartlett et al., 2007; Gour and Spekkens, 2008; Marvian and Spekkens, 2011), and the restriction to stabilizer operations defines a theory of quantum…”
Quantum limits in optical interferometry (2014, background): “In other words, it provides one with reference frame with respect to which phase of the signal beams can be measured (Bartlett et al., 2007; Mølmer, 1997).”
Concepts of quantum non-Markovianity: A hierarchy (2017, background): “e measurements that can be performed on the environment. In particular, we assume that there are no super-selection rules that limit what observables can be measured or what preparations are possible [152]. For example, a classical environment could be modelled by a quantum environment with a super-”
The classical-quantum boundary for correlations: Discord and related measures (2011, background): “…such as conservation laws or relativistic invariance (Strocchi and Wightman, 1974; Wick et al., 1952, 1970), as well as for more pragmatic reasons such as the lack of suitable reference frames or detailed knowledge about underlying interactions (Aharonov and Susskind, 1967; Bartlett et al., 2007).”
Quantum resource theories (2018, methodology): “Information of this sort is called unspeakable information since it cannot be communicated verbally without first having a shared cordinate system, a synchronized clock, or a common phase reference (Bartlett et al., 2007; Chiribella et al., 2012; Peres and Scudo, 2002).”
Description of quantum coherence in thermodynamic processes requires constraints beyond free energy (2014, background): “The way in which coherence in a state ρ can be utilized to obtain mechanical work is readily seen from asymmetry theory and the theory of quantum reference frames [31].”
Quantum processes which do not use coherence (2015, background): “[37] Stephen D Bartlett, Terry Rudolph, and Robert W Spekkens, “Reference frames, superselection rules, and quantum information,” Reviews of Modern Physics 79,”