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Geometry of Quantum Computation with Qudits

https://doi.org/10.1038/srep04044
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/j.physleta.2007.07.070openalex-snapshot
Entanglement sudden death in qubit–qutrit systems
inferredcites →https://doi.org/10.1016/s0375-9601(99)00803-8openalex-snapshot
Holonomic quantum computation
inferredcites →https://doi.org/10.1038/nphys1150openalex-snapshot
Simplifying quantum logic using higher-dimensional Hilbert spaces
inferredcites →https://doi.org/10.1038/srep00260openalex-snapshot
An Efficient Exact Quantum Algorithm for the Integer Square-free Decomposition Problem
inferredcites →https://doi.org/10.1038/srep02594openalex-snapshot
Geometry of Quantum Computation with Qutrits
inferredcites →https://doi.org/10.1088/0305-4470/35/24/309openalex-snapshot
Chow$apos$s theorem and universal holonomic quantum computation
inferredcites →https://doi.org/10.1088/1367-2630/8/5/075openalex-snapshot
Experimental quantum cryptography with qutrits
inferredcites →https://doi.org/10.1090/s0002-9939-1959-0108732-6openalex-snapshot
On the Product of Semi-Groups of Operators
inferredcites →https://doi.org/10.1098/rspa.1985.0070openalex-snapshot
Quantum theory, the Church–Turing principle and the universal quantum computer
inferredcites →https://doi.org/10.1098/rspa.1989.0099openalex-snapshot
Quantum computational networks
inferredcites →https://doi.org/10.1103/physreva.62.052309openalex-snapshot
Multivalued logic gates for quantum computation
inferredcites →https://doi.org/10.1103/physreva.65.052331openalex-snapshot
Quantum key distribution ford-level systems with generalized Bell states
inferredcites →https://doi.org/10.1103/physreva.68.062303openalex-snapshot
Quantum computation based ond-level cluster state
inferredcites →https://doi.org/10.1103/physreva.69.022302openalex-snapshot
Holevo-Schumacher-Westmoreland channel capacity for a class of qudit unital channels
inferredcites →https://doi.org/10.1103/physreva.73.032325openalex-snapshot
Error tolerance of two-basis quantum-key-distribution protocols using qudits and two-way classical communication
inferredcites →https://doi.org/10.1103/physreva.73.062323openalex-snapshot
Optimal control, geometry, and quantum computing
inferredcites →https://doi.org/10.1103/physreva.74.022323openalex-snapshot
Engineering of arbitrary U(N) transformations by quantum Householder reflections
inferredcites →https://doi.org/10.1103/physreva.75.022313openalex-snapshot
Efficient Toffoli gates using qudits
inferredcites →https://doi.org/10.1103/physreva.80.012331openalex-snapshot
Sudden death of distillability in qutrit-qutrit systems
inferredcites →https://doi.org/10.1103/physreva.80.062301openalex-snapshot
Efficient quantum circuits for arbitrary sparse unitaries
inferredcites →https://doi.org/10.1103/physrevlett.100.060504openalex-snapshot
Manipulating Biphotonic Qutrits
inferredcites →https://doi.org/10.1103/physrevlett.104.060401openalex-snapshot
Closing the Detection Loophole in Bell Experiments Using Qudits
inferredcites →https://doi.org/10.1103/physrevlett.74.4087openalex-snapshot
Realizable Universal Quantum Logic Gates
inferredcites →https://doi.org/10.1103/physrevlett.79.325openalex-snapshot
Quantum Mechanics Helps in Searching for a Needle in a Haystack
inferredcites →https://doi.org/10.1103/physrevlett.88.040404openalex-snapshot
Bell Inequalities for Arbitrarily High-Dimensional Systems
inferredcites →https://doi.org/10.1103/physrevlett.88.127901openalex-snapshot
Optimal Eavesdropping in Cryptography with Three-Dimensional Quantum States
inferredcites →https://doi.org/10.1103/physrevlett.88.127902openalex-snapshot
Security of Quantum Key Distribution Using d -Level Systems
inferredcites →https://doi.org/10.1103/physrevlett.90.167906openalex-snapshot
Exceeding the Classical Capacity Limit in a Quantum Optical Channel
inferredcites →https://doi.org/10.1103/physrevlett.91.027903openalex-snapshot
Exact Two-Qubit Universal Quantum Circuit
inferredcites →https://doi.org/10.1103/physrevlett.92.167903openalex-snapshot
Triggered Qutrits for Quantum Communication Protocols
inferredcites →https://doi.org/10.1103/physrevlett.94.100501openalex-snapshot
Generation of Entangled States of Qudits using Twin Photons
inferredcites →https://doi.org/10.1103/physrevlett.94.220501openalex-snapshot
Pixel Entanglement: Experimental Realization of Optically Entangled d=3 and d=6 Qudits
inferredcites →https://doi.org/10.1103/physrevlett.94.230502openalex-snapshot
Asymptotically Optimal Quantum Circuits for d -Level Systems
inferredcites →https://doi.org/10.1109/qels.2005.1549061openalex-snapshot
Pixel entanglement: experimental realization of optically entangled d=3 and d=6 qudits
inferredcites →https://doi.org/10.1109/tcad.2005.855930openalex-snapshot
Synthesis of quantum-logic circuits
inferredcites →https://doi.org/10.1126/science.1121541openalex-snapshot
Quantum Computation as Geometry
inferredcites →https://doi.org/10.1126/science.1173440openalex-snapshot
Emulation of a Quantum Spin with a Superconducting Phase Qudit
inferredcites →https://doi.org/10.1137/s0097539795293172openalex-snapshot
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
inferredcites →https://doi.org/10.26421/qic6.4-5-9openalex-snapshot
Efficient circuits for exact-universal computation with qudits
inferredcites →https://doi.org/10.26421/qic9.5-6-6openalex-snapshot
Synthesis of quantum circuits for $d$-level systems by using cosine-sine
inferredcites →https://doi.org/10.5555/2016985.2016986openalex-snapshot
The geometry of quantum computation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s10773-015-2790-0openalex-snapshot
Hyper CNOT and Hyper Bell-State Analysis Assisted by Quantum Dots in Double-Side Optical Microcavities
inferred← citeshttps://doi.org/10.1007/s11128-014-0905-9openalex-snapshot
Deterministic generations of quantum state with no more than six qubits
inferred← citeshttps://doi.org/10.1007/s11432-015-5411-xopenalex-snapshot
Improved quantum ripple-carry addition circuit
inferred← citeshttps://doi.org/10.1007/s42484-023-00125-0openalex-snapshot
Data re-uploading with a single qudit
inferred← citeshttps://doi.org/10.1016/j.nancom.2023.100466openalex-snapshot
Robust quantum circuit for clique problem with intermediate qudits
inferred← citeshttps://doi.org/10.1016/j.optcom.2014.08.037openalex-snapshot
Optimal bipartite entanglement transfer and photonic implementations
inferred← citeshttps://doi.org/10.1016/j.physleta.2015.03.023openalex-snapshot
Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
inferred← citeshttps://doi.org/10.1038/s41598-017-01245-xopenalex-snapshot
Distributed atomic quantum information processing via optical fibers
inferred← citeshttps://doi.org/10.1038/s41598-023-39906-9openalex-snapshot
A hybrid-qudit representation of digital RGB images
inferred← citeshttps://doi.org/10.1038/s41598-025-32484-yopenalex-snapshot
Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction
inferred← citeshttps://doi.org/10.1038/srep13255openalex-snapshot
Photonic ququart logic assisted by the cavity-QED system
inferred← citeshttps://doi.org/10.1038/srep16716openalex-snapshot
Hybrid Toffoli gate on photons and quantum spins
inferred← citeshttps://doi.org/10.1038/srep25977openalex-snapshot
Quantum Computation Based on Photons with Three Degrees of Freedom
inferred← citeshttps://doi.org/10.1088/2058-9565/ad7315openalex-snapshot
Encoding optimization for quantum machine learning demonstrated on a superconducting transmon qutrit
inferred← citeshttps://doi.org/10.1103/7mvy-zq7jopenalex-snapshot
Comparison of encoding schemes for quantum computing of S > 1 / 2 spin chains
inferred← citeshttps://doi.org/10.1103/91z1-ykmjopenalex-snapshot
Resource-efficient teleportation of high-dimensional quantum coherence via initial phase engineering
inferred← citeshttps://doi.org/10.1103/physreva.105.062453openalex-snapshot
Asymptotically improved circuit for a d -ary Grover's algorithm with advanced decomposition of the n -qudit Toffoli gate
inferred← citeshttps://doi.org/10.1103/physreva.110.062208openalex-snapshot
Dissipative phase transition: From qubits to qudits
inferred← citeshttps://doi.org/10.1103/physreva.98.012335openalex-snapshot
Bipartite unitary gates and billiard dynamics in the Weyl chamber
inferred← citeshttps://doi.org/10.1103/physreva.98.012339openalex-snapshot
Adaptive quantum tomography in high dimensions
inferred← citeshttps://doi.org/10.1103/physreva.99.012336openalex-snapshot
Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
inferred← citeshttps://doi.org/10.1103/physrevresearch.1.033123openalex-snapshot
Native three-body interaction in superconducting circuits
inferred← citeshttps://doi.org/10.1103/prxquantum.4.040333openalex-snapshot
Qudit Entanglers Using Quantum Optimal Control
inferred← citeshttps://doi.org/10.1103/q69k-y623openalex-snapshot
Simulation of vibrational dynamics using qubits and qudits
inferred← citeshttps://doi.org/10.1103/rrmd-fqx6openalex-snapshot
Non-Abelian dynamics on a cube: Improving quantum compilation through qudit-based simulations
inferred← citeshttps://doi.org/10.22331/q-2026-03-13-2023openalex-snapshot
Qudit low-density parity-check codes
inferred← citeshttps://doi.org/10.30958/ajs.6-2-1openalex-snapshot
Assembling Large Entangled States in the Rényi-Ingarden-Urbanik Entropy Measure under the SU(2)-Dynamics Decomposition for Systems Built from Two-Level Subsystems
inferred← citeshttps://doi.org/10.30958/ajs_v6i2openalex-snapshot
inferred← citeshttps://doi.org/10.3389/fphy.2020.589504openalex-snapshot
Qudits and High-Dimensional Quantum Computing
inferred← citeshttps://doi.org/10.3390/proceedings2025123005openalex-snapshot
Symmetries and Scale Invariance in Global Maps of Quantum Circuits
inferred← citeshttps://doi.org/10.3762/bjnano.11.169openalex-snapshot
Kondo effects in small-bandgap carbon nanotube quantum dots
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