Quantum information

Optical lattices use lasers to separate rubidium atoms (red) for use as information bits in neutral-atom quantum processors—prototype devices which designers are trying to develop into full-fledged quantum computers.

Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory,[1][2][3] and can be manipulated using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general computational term.

It is an interdisciplinary field that involves quantum mechanics, computer science, information theory, philosophy and cryptography among other fields.[4][5][6] Its study is also relevant to disciplines such as cognitive science, psychology and neuroscience.[7][8][9][10] Its main focus is in extracting information from matter at the microscopic scale. Observation in science is one of the most important ways of acquiring information and measurement is required in order to quantify the observation, making this crucial to the scientific method. In quantum mechanics, due to the uncertainty principle, non-commuting observables cannot be precisely measured simultaneously, as an eigenstate in one basis is not an eigenstate in the other basis. According to the eigenstate–eigenvalue link, an observable is well-defined (definite) when the state of the system is an eigenstate of the observable.[11] Since any two non-commuting observables are not simultaneously well-defined, a quantum state can never contain definitive information about both non-commuting observables.[8]

Data can be encoded into the quantum state of a quantum system as quantum information.[12] While quantum mechanics deals with examining properties of matter at the microscopic level,[13][8] quantum information science focuses on extracting information from those properties,[8] and quantum computation manipulates and processes information – performs logical operations – using quantum information processing techniques.[14]

Quantum information, like classical information, can be processed using digital computers, transmitted from one location to another, manipulated with algorithms, and analyzed with computer science and mathematics. Just like the basic unit of classical information is the bit, quantum information deals with qubits.[15] Quantum information can be measured using Von Neumann entropy.

Recently, the field of quantum computing has become an active research area because of the possibility to disrupt modern computation, communication, and cryptography.[14][16]

  1. ^ Cite error: The named reference Vedral2006 was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference Nielsen2010 was invoked but never defined (see the help page).
  3. ^ Cite error: The named reference Hayashi2006 was invoked but never defined (see the help page).
  4. ^ Cite error: The named reference Bokulich2010 was invoked but never defined (see the help page).
  5. ^ Cite error: The named reference Benatti2010 was invoked but never defined (see the help page).
  6. ^ Cite error: The named reference Benatti2009 was invoked but never defined (see the help page).
  7. ^ Cite error: The named reference Hayashi2015 was invoked but never defined (see the help page).
  8. ^ a b c d Cite error: The named reference Hayashi2017 was invoked but never defined (see the help page).
  9. ^ Cite error: The named reference Georgiev2017 was invoked but never defined (see the help page).
  10. ^ Cite error: The named reference Georgiev2020 was invoked but never defined (see the help page).
  11. ^ Gilton, Marian J. R. (2016). "Whence the eigenstate–eigenvalue link?". Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 55: 92–100. Bibcode:2016SHPMP..55...92G. doi:10.1016/j.shpsb.2016.08.005.
  12. ^ Cite error: The named reference Preskill2018 was invoked but never defined (see the help page).
  13. ^ Cite error: The named reference Feynman2013 was invoked but never defined (see the help page).
  14. ^ a b Cite error: The named reference Lo1998 was invoked but never defined (see the help page).
  15. ^ Cite error: The named reference Bennett1998 was invoked but never defined (see the help page).
  16. ^ Cite error: The named reference Garlinghouse2020 was invoked but never defined (see the help page).

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