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Unit of information in a quantum computer
Qudit with d = 2 states Qutrit – Qudit with d = 3 states Ququart or Ququat – Qudit with d = 4 states Ququint– Qudit with d = 5 states Quhexit – Qudit
Qudit
Basic unit of quantum information
mechanics and quantum computing. A qubit can be generalized as a d=2 qudit or a binary qudit. The coining of the term qubit is attributed to Benjamin Schumacher
Qubit
Unit of quantum information
unit of quantum information that is realized by a 3-level quantum system (qudit with radix 3), that may be in a superposition of three mutually orthogonal
Qutrit
Superconducting qubit implementation
'bosonic codes'. Transmons have been explored for use as d-dimensional qudits via the additional energy levels that naturally occur above the qubit subspace
Transmon
Unit of information
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Bit
Unit of information
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Shannon_(unit)
"Highly entangled" quantum state of 3 or more qubits
state that involves at least three subsystems (particle states, qubits, or qudits). Named for the three authors that first described this state, the GHZ state
Greenberger–Horne–Zeilinger state
Greenberger–Horne–Zeilinger_state
Propositional calculus in which there are more than two truth values
necessarily a binary qubit. A qudit is a quantum system with d > 2 discrete levels, and quantum communication protocols using qudits can achieve higher channel
Many-valued_logic
Number in base-10 numeral system
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Decimal
Correspondence between quantum channels and quantum states
channel, which requires two qudit ancillas, the method above requires lower circuit cost since it only needs a single qudit ancilla instead of two. While
Choi–Jamiołkowski_isomorphism
Unit of measure for digital data
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Units_of_information
Basic circuit in quantum computing
d-level quantum system (such as a qubit, a quantum register, or qutrits and qudits) the orthonormal basis vectors are labeled | 0 ⟩ , | 1 ⟩ , … , | d − 1 ⟩
Quantum_logic_gate
Physical phenomenon
receiver). A generalization to d {\displaystyle d} -level systems (so-called qudits) is straight forward and was already discussed in the original paper by
Quantum_teleportation
Unit of information
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Nat_(unit)
Process in quantum computing
more general physical systems, such as d {\displaystyle d} -level systems (qudits) or infinite-dimensional oscillators. Encoding a smaller logical system
Quantum_error_correction
Geometric space with five dimensions
doi:10.1103/PhysRevA.102.042409. Castelvecchi, Davide (2025-03-25). "Meet 'qudits': more complex cousins of qubits boost quantum computing". Nature. 640 (8057):
Five-dimensional_space
Physics phenomenon
GHZ state was defined for M = 3. GHZ states are occasionally extended to qudits, i.e., systems of d rather than 2 dimensions. Also for M > 2 qubits, there
Quantum_entanglement
Quantum states of two qubits
of entanglement between two multi-dimensional systems, also known as two-qudit (quantum digit) entanglement. Bell test experiments Bell's inequality EPR
Bell_state
Universal reversible logic gate, applied in quantum computing
Hashim, Akel; Santiago, David I.; Siddiqi, Irfan (2024). "Empowering a qudit-based quantum processor by traversing the dual bosonic ladder". Nature Communications
Toffoli_gate
Unit of information
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Hartley_(unit)
Measurement in quantum metrology
{\displaystyle {\frac {F_{\rm {Q}}[\varrho ,J_{z}]}{N}}\leq k.} The situation for qudits with a dimension larger than d = 2 {\displaystyle d=2} is more complicated
Quantum_metrological_gain
Theory of quantum gauge fields on a lattice
Martin (2025-03-25). "Simulating two-dimensional lattice gauge theories on a qudit quantum computer". Nature Physics. 21 (4): 570–576. arXiv:2310.12110. Bibcode:2025NatPh
Lattice_gauge_theory
Quantum analog of probabilistic automata
{\displaystyle N} -level qudit | ψ ⟩ {\displaystyle |\psi \rangle } . More precisely, the N {\displaystyle N} -level qudit | ψ ⟩ ∈ P ( C N ) {\displaystyle
Quantum_finite_automaton
Process in linear algebra
{\big )}} This kind of system is made possible by encoding the value of a qudit into the orbital angular momentum (OAM) of a photon rather than its spin
Schmidt_decomposition
benchmarking it. Scientists build a microchip that generates two entangled qudits each with 10 states, for 100 dimensions total. Microsoft revealed Q#, a
Timeline of quantum computing and communication
Timeline_of_quantum_computing_and_communication
Quantum-mechanical version of computer memory
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Quantum_memory
Energy difference between ground and first excited states
also proven undecidable in 2020 by constructing a chain of interacting qudits divided into blocks that gain energy if and only if they represent a full
Spectral_gap_(physics)
Process of copying a quantum state with no modification of the original
case and proven optimal. This has also been extended to the qutrit and qudit cases. The first experimental asymmetric quantum cloning machine was realized
Quantum_cloning
Quantum computing implementation
resonator is dispersively shifted by the qubit state. Multi-level systems (qudits) can be readout using electron shelving. DiVincenzo's criteria is a list
Superconducting quantum computing
Superconducting_quantum_computing
Families of matrices in mathematics, physics, and quantum information
{\displaystyle d} -level systems (generalized Gell-Mann matrices acting on qudits). Let E j k {\displaystyle E_{jk}} be the matrix with 1 in the jk-th entry
Generalizations of Pauli matrices
Generalizations_of_Pauli_matrices
Experiments to test Bell's theorem in quantum mechanics
Nicolas (2010). "Closing the detection loophole in Bell experiments using qudits". Physical Review Letters. 104 (6) 060401. arXiv:0909.3171. Bibcode:2010PhRvL
Bell_test
Topological quantum error correcting code
S2CID 26719502. Bullock, Stephen S; Brennen, Gavin K (14 March 2007). "Qudit surface codes and gauge theory with finite cyclic groups". Journal of Physics
Surface_code
Quantum state of multiple particles represented as complex matrices
N} . For qubits, s i ∈ { 0 , 1 } {\displaystyle s_{i}\in \{0,1\}} . For qudits (d-level systems), s i ∈ { 0 , 1 , … , d − 1 } {\displaystyle s_{i}\in \{0
Matrix_product_state
System comprising multiple qubits
List of proposed quantum registers Quantum circuit Quantum logic gate Qudit Ekert, Artur; Hayden, Patrick; Inamori, Hitoshi (2008). "Basic Concepts
Quantum_register
American mathematical physicist (born 1979)
representations of quantum circuits to higher-dimensional systems, including qudits, and establishing algebraic normal forms for quantum states and processes
Jacob_Biamonte
Search problem in quantum mechanics
Leandro; Hsieh, Min-Hsiu (2025-04-15). "Unconditional advantage of noisy qudit quantum circuits over biased threshold circuits in constant depth". Nature
Hidden linear function problem
Hidden_linear_function_problem
Concept in quantum computing
Griffiths, Robert B. (2008-10-07). "Quantum-error-correcting codes using qudit graph states". Physical Review A. 78 (4) 042303. American Physical Society
Graph_state
\mathrm {Ph} (0)=I.} These gates can be extended to any number of qubits or qudits. This table includes commonly used Clifford gates for qubits. Other Clifford
List_of_quantum_logic_gates
15e3007N. doi:10.1088/1367-2630/15/5/053007. ISSN 1367-2630. S2CID 110606655. "Qudits: The Real Future of Quantum Computing?". IEEE Spectrum. 28 June 2017. Retrieved
Glossary_of_quantum_computing
Quantum version of the Byzantine agreement protocol
\nolimits _{a=1}^{n^{3}}|a,a,\ldots ,a\rangle } on n {\displaystyle n} qudits (quantum-computing components consistent of multiple qubits), an equal superposition
Quantum_Byzantine_agreement
Type of angular momentum in light
and correlations measured using spatial light modulators (SLM). Using qudits (with d levels, as opposed to a qubit's 2 levels) has been shown to improve
Orbital angular momentum of light
Orbital_angular_momentum_of_light
Crucial concept of quantum information
Generalized probabilistic theory Mathematical formulation of quantum mechanics Qudit Quantum information Heinosaari, Teiko; Miyadera, Takayuki; Ziman, Mario
Incompatibility of quantum measurements
Incompatibility_of_quantum_measurements
American physicist
Hashim, A.; Santiago, D.I.; Siddiqi, I. (19 August 2024). "Empowering a qudit-based quantum processor by traversing the dual bosonic ladder". Nature Communications
Irfan_Siddiqi
not a qubit, but a qudit), security can be achieved in a protocol in which Alice sends n {\displaystyle n} higher-dimensional qudits encoded one of the
Noisy-storage_model
Information storage technology
demonstrated, allowing for compact generation of spatially entangled qubits and qudits without the need for pump or beam shaping. The generated states exhibited
Electronic_quantum_holography
Kent, Adrian (2011). "Unconditionally secure bit commitment with flying qudits". New Journal of Physics. 13 (11) 113015. arXiv:1101.4620. Bibcode:2011NJPh
Relativistic quantum cryptography
Relativistic_quantum_cryptography
Retrieved 13 October 2018. Blasiak, Pawel (13 July 2018). "Local model of a qudit: Single particle in optical circuits". Physical Review. 98 (1) 012118. Bibcode:2018PhRvA
2018_in_science
German chemist
with W. Wernsdorfer: Synthetic Hilbert Space Engineering of Molecular Qudits: Isotopologue Chemistry. In: Advanced Materials. Vol. 31, 2019, p. 1806687
Mario_Ruben
QUDIT
QUDIT
QUDIT
QUDIT
Girl/Female
Tamil
Ashiyana | ஆஷியாநா
Nest, Beautiful home, Dwelling place
Girl/Female
Hindu
Wise
Surname or Lastname
English
English : variant of Thurston.French : variant of Toutant.
Boy/Male
Gujarati, Hindu, Indian
Engrossed
Male
Egyptian
, Horus in Victory.
Biblical
judge
Girl/Female
Indian, Sanskrit
Hard as a Diamond
Boy/Male
Czechoslovakian
Bagpiper.
Boy/Male
Norse
Son of Skopta.
Boy/Male
Hindu
Lord Vishnu, Lord Krishna
QUDIT
QUDIT
QUDIT
QUDIT
QUDIT