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Quantum Information with Continuous Variable systems
Quantum Physics · Submitted 25 May 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus non-Gaussian states emerge as potentially good candidates for communication and computation purposes.
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The abstract, sentence by sentence
This thesis deals with the study of quantum communication protocols with Continuous Variable (CV) systems. Continuous Variable systems are those described by canonical conjugated coordinates x and p endowed with infinite dimensional Hilbert spaces, thus involving a complex mathematical structure. A special class of CV states, are the so-called Gaussian states. With them, it has been possible to implement certain quantum tasks as quantum teleportation, quantum cryptography and quantum computation with fantastic experimental success. The importance of Gaussian states is two-fold; firstly, its structural mathematical description makes them much more amenable than any other CV system. Secondly, its production, manipulation and detection with current optical technology can be done with a very high degree of accuracy and control. Nevertheless, it is known that in spite of their exceptional role within the space of all Continuous Variable states, in fact, Gaussian states are not always the best candidates to perform quantum information tasks. Thus non-Gaussian states emerge as potentially good candidates for communication and computation purposes.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This thesis deals with the study of quantum communication protocols with Continuous Variable (CV) systems. | contribution 0.84 | 0.46 | 0.04 | asserted 0.94 |
| s1 | Continuous Variable systems are those described by canonical conjugated coordinates x and p endowed with infinite dimensional Hilbert spaces, thus involving a complex mathematical structure. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s2 | A special class of CV states, are the so-called Gaussian states. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s3 | With them, it has been possible to implement certain quantum tasks as quantum teleportation, quantum cryptography and quantum computation with fantastic experimental success. | background 0.98 | 0.11 | 0.05 | asserted 0.90 |
| s4 | The importance of Gaussian states is two-fold; firstly, its structural mathematical description makes them much more amenable than any other CV system. | background 0.99 | 0.10 | 0.04 | asserted 1.00 |
| s5 | Secondly, its production, manipulation and detection with current optical technology can be done with a very high degree of accuracy and control. | background 1.00 | 0.10 | 0.03 | asserted 0.92 |
| s6 | Nevertheless, it is known that in spite of their exceptional role within the space of all Continuous Variable states, in fact, Gaussian states are not always the best candidates to perform quantum information tasks. | background 0.76 | 0.06 | 0.17 | asserted 1.00 |
| s7 | Thus non-Gaussian states emerge as potentially good candidates for communication and computation purposes. | background 0.70 | 0.08 | 0.32 | hedged possibility 0.98 |
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The paper
Original abstract
This thesis deals with the study of quantum communication protocols with Continuous Variable (CV) systems. Continuous Variable systems are those described by canonical conjugated coordinates x and p endowed with infinite dimensional Hilbert spaces, thus involving a complex mathematical structure. A special class of CV states, are the so-called Gaussian states. With them, it has been possible to implement certain quantum tasks as quantum teleportation, quantum cryptography and quantum computation with fantastic experimental success. The importance of Gaussian states is two-fold; firstly, its structural mathematical description makes them much more amenable than any other CV system. Secondly, its production, manipulation and detection with current optical technology can be done with a very high degree of accuracy and control. Nevertheless, it is known that in spite of their exceptional role within the space of all Continuous Variable states, in fact, Gaussian states are not always the best candidates to perform quantum information tasks. Thus non-Gaussian states emerge as potentially good candidates for communication and computation purposes.
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