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Type of error correction in quantum computing
The five-qubit error correcting code, [[5,1,3]] code, or Laflamme–Miquel–Paz–Zurek code is the smallest quantum error correcting code that can protect
Five-qubit error correcting code
Five-qubit_error_correcting_code
Quantum error correction code
stabilizer codes, CSS codes. An example of a stabilizer code that is not a CSS code is the five-qubit error correcting code. Stabilizer codes are strikingly
Stabilizer_code
Code used in quantum error correction
operational errors. It was the first quantum error correcting code, introduced by Peter Shor in 1995. It encodes a single logical qubit into a system
Shor_code
Process in quantum computing
physical qubits). Other error correcting codes have also been implemented, such as one aimed at correcting for photon loss, the dominant error source in
Quantum_error_correction
Class of quantum error correcting codes
operations. The Shor code and the Steane code are examples of this condition. The five-qubit error correcting code is not a CSS code because it mixes X
CSS_code
Quantum computing algorithm
almost pure state having a small error probability. repeat Apply the decoding operation of the five-qubit error correcting code and measure the syndrome. If
Magic_state_distillation
Quantum error correcting code
tolerant error correction. Five-qubit error correcting code Bacon, Dave (2006-01-30). "Operator quantum error-correcting subsystems for self-correcting quantum
Bacon–Shor_code
Five-qubit error correcting code is the smallest quantum error correcting code that can protect a logical qubit from any arbitrary single qubit error
Glossary_of_quantum_computing
Canadian theoretical physicist (1960–2025)
Camille (June 18, 2001). "Benchmarking Quantum Computers: The Five-Qubit Error Correcting Code". Physical Review Letters. 86 (25). American Physical Society:
Raymond_Laflamme
Proposed approach to a large-scale quantum computer based on Schrödinger cat states
codes, correcting both types of errors can require a significant number of physical qubits to realize a single error-free logical qubit. Cat qubits can
Cat_qubit_quantum_computer
Information held in the state of a quantum system
quantum error correcting code by storing the information of one qubit onto a highly entangled state of ancilla qubits. A quantum error correcting code protects
Quantum_information
Two-bit quantum communication protocol
photon pairs. Superdense coding can be thought of as the opposite of quantum teleportation, in which one transfers one qubit from Alice to Bob by communicating
Superdense_coding
Unit of information in a quantum computer
Thomas (2002-11-04). "Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes". International Journal of Foundations of Computer Science
Qudit
Quantum state, of opposed conditions
Puri, Shruti (2021-09-16). "Practical Quantum Error Correction with the XZZX Code and Kerr-Cat Qubits". PRX Quantum. 2 (3) 030345. arXiv:2104.09539.
Cat_state
processor where error-corrected qubits get exponentially better as they get bigger. Willow performed a standard benchmark computation in under five minutes that
Timeline of quantum computing and communication
Timeline_of_quantum_computing_and_communication
Quantum Computing company in Boston, Massachusetts
logical qubits in 2026. The logical qubits were defined as having lower error rates than their constituent physical qubits. A cloud-based logical qubit simulator
QuEra
Research division of Google
qubit prototype and showing that it's possible to suppress computational errors by scaling up the number of qubits in a scheme known as quantum error
Google_Quantum_AI
Cryptography based on quantum mechanical phenomena
also an inherent flaw that comes with current quantum devices. Errors and lost qubits will affect Bob's measurements, resulting in holes in Bob's measurement
Quantum_cryptography
Loss of quantum coherence
single qubit into nine physical qubits to protect against both bit-flip and phase-flip errors. Steane code: A 7-qubit code that provides error correction
Quantum_decoherence
Secure communication method
highly entangled states, and a low quantum bit error rate. DIQKD presents difficulties in creating qubits that are in such high quality entangled states
Quantum_key_distribution
American physicist (born 1950)
superconducting cavity. This result, published in Nature, showed that an error-corrected logical qubit could outperform its best physical component, a key milestone
Steven_Girvin
Elementary particle with negative charge
device could measure the electric charge from as few as 1–150 ions with an error margin of less than 0.3%. Comparable experiments had been done earlier by
Electron
Restricted model of non-universal quantum computation
Information Lab – Sapienza: video on boson sampling Quantum Information Lab – Sapienza: video on scattershot boson sampling The Qubit Lab – Boson Sampling
Boson_sampling
Making devices resist ionizing radiation
using purer packaging materials, and employing error-correcting codes to detect and often correct DRAM errors. Cosmic rays come from all directions and consist
Radiation_hardening
been extended 100-fold by spreading a single logical qubit over chains of data qubits for quantum error correction. Physical Review X reported a technique
History_of_computing_hardware
Number divisible only by 1 and itself
which is fast but has a small chance of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow
Prime_number
The team, which has made "great strides" in 2018, plans to develop a 10-qubit prototype silicon quantum integrated circuit by 2022. In the same year,
Women_in_computing
Study of mathematical knots
original and subsequent knot tables, and differences in approach to correcting this error in knot tables and other publications created after this point.
Knot_theory
Concept in quantum information theory
hdl:10338.dmlcz/141471. Gottesman, D. (1996). "Class of quantum error-correcting codes saturating the quantum Hamming bound". Phys. Rev. A. 54 (3): 1862–1868
Mutually_unbiased_bases
Psion PLC First experimental quantum algorithm demonstrated on a working 2-qubit NMR quantum computer used to solve Deutsch's problem – Jonathan A. Jones
List of British innovations and discoveries
List_of_British_innovations_and_discoveries
researchers claim to have achieved quantum supremacy, using a photonic up to 76-qubit system known as Jiuzhang, which performed calculations at 100 trillion times
2020_in_science
1,000+ qubit quantum computer". arstechnica. 24 October 2023. Retrieved 25 October 2023. "Atom Computing Announces Record-Breaking 1,225-Qubit Quantum
2023_in_science
logic gate in silicon for the first time, making calculations between two qubits of information possible – and thereby clearing the final hurdle to making
2015_in_science
first-of-its-kind cryogenic control chip – code-named "Horse Ridge" – for control of multiple quantum bits (qubits) and scaling of larger quantum computer
2019_in_science
Wales invented a new type of quantum computing design they called Flip-flop qubits, which makes it much easier to integrate quantum computing with electronic
2017_in_science
FIVE QUBIT-ERROR-CORRECTING-CODE
FIVE QUBIT-ERROR-CORRECTING-CODE
Female
Egyptian
, woman of Ombos.
Boy/Male
Anglo Saxon
Terror.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Error-less
Boy/Male
Christian & English(British/American/Australian)
Wanderering Noble
Girl/Female
Biblical
Punishment, correction.
Boy/Male
Anglo Saxon
Terror.
Girl/Female
Hindu, Indian
Without Error
Male
English
Scottish surname transferred to forename use, from a place name possibly ERROL means "to wander."Â
Female
English
Anglicized form of Irish Gaelic Sadhbh, SIVE means "sweet."
Biblical
punishment; correction
Boy/Male
Anglo Saxon
Terror.
Boy/Male
Arabic
Raising; Collecting
Boy/Male
American, Anglo, British, Christian, Danish, English, German, Jamaican, Latin, Scottish
To Wander; Nobleman; Leader; Earl; Wanderer
Girl/Female
Arabic, Muslim
Connecting; Joining
Girl/Female
Arabic, Gujarati, Hindu, Indian, Kannada, Muslim
Five; God; Fived
Female
Arthurian
, error for Nineve (q.v.).
Boy/Male
English American German Latin Scottish
Army commander. Army, weald power. Also can be a, meaning nobleman. Famous bearer: Australian...
Boy/Male
Anglo Saxon
Terror.
Surname or Lastname
English
English : from Middle English cubit ‘forearm’ (from Latin cubitum), presumably applied as a nickname for someone with strong or otherwise remarkable forearms; in its extended sense, as a unit of length, it may have been a metonymic occupational name for a builder.
Male
Scottish
Scottish surname transferred to forename use, FIFE means "from Fife," a place said to have gotten its name from the legendary Pictish hero Fib.
FIVE QUBIT-ERROR-CORRECTING-CODE
FIVE QUBIT-ERROR-CORRECTING-CODE
Girl/Female
Arabic, Swahili
Woman; Life
Female
Egyptian
, Seben.
Female
Czechoslovakian
, beloved of God, or, Lord, have mercy.
Boy/Male
Hindu
Brillient
Boy/Male
Hindu, Indian, Kannada, Sanskrit
Lord of the Earth
Girl/Female
American, Australian, British, Christian, English, French, German, Greek, Italian, Latin, Portuguese, Romanian, Spanish, Swedish
Anointed; Christian; Follower of Christ
Boy/Male
Tamil
Acknowledge
Boy/Male
Indian, Kannada, Sanskrit
Group Leader
Boy/Male
English American Irish Latin
Patrician, noble. Romans society was divided into plebeians: (commoners) and patricians:...
Boy/Male
Arabic, Muslim
Born on Friday
FIVE QUBIT-ERROR-CORRECTING-CODE
FIVE QUBIT-ERROR-CORRECTING-CODE
FIVE QUBIT-ERROR-CORRECTING-CODE
FIVE QUBIT-ERROR-CORRECTING-CODE
FIVE QUBIT-ERROR-CORRECTING-CODE
v. t.
To animate; to give life or spirit to; as, to fire the genius of a young man.
a.
Containing or making correction; corrective.
a.
Relating to the correcting or straightening out of something; corrective.
a.
Alt. of Five-leaved
n.
The act of correcting, or making that right which was wrong; change for the better; amendment; rectification, as of an erroneous statement.
n.
The number next greater than four, and less than six; five units or objects.
a.
Having five leaflets, as the Virginia creeper.
n.
Abatement of noxious qualities; the counteraction of what is inconvenient or hurtful in its effects; as, the correction of acidity in the stomach.
a.
To have done with; to cease from; to stop; hence, to depart from; to leave; to forsake; as, to quit work; to quit the place; to quit jesting.
n.
An allowance made for inaccuracy in an instrument; as, chronometer correction; compass correction.
n.
Cinquefoil; five-finger.
n.
That which has the power of correcting, altering, or counteracting what is wrong or injurious; as, alkalies are correctives of acids; penalties are correctives of immoral conduct.
n.
The difference between the observed value of a quantity and that which is taken or computed to be the true value; -- sometimes called residual error.
n.
Correction of an error in a writ or process.
v. i.
To pay a fine. See Fine, n., 3 (b).
a.
Having the power to correct; tending to rectify; as, corrective penalties.
v. t. & i.
To give.
n.
A wandering or deviation from the right course or standard; irregularity; mistake; inaccuracy; something made wrong or left wrong; as, an error in writing or in printing; a clerical error.
imp. & p. p.
of Quit