Realizing quantum gates with optically-addressable ${}^{171}$Yb${}^{+}$ ion qudits

Abstract

The use of multilevel information carriers, also known as qudits, is a promising path for exploring scalability of quantum computing devices. Here we present a proof-of-principle realization of a quantum processor register that uses optically-addressed ${}^{171}$Yb${}^{+}$ ion qudits in a linear trap. The rich level structure of ${}^{171}$Yb${}^{+}$ ions allows using the Zeeman sublevels of the quadrupole clock transition at 435.5 nm for efficient and robust qudit encoding. We demonstrate the realization of the universal set of gates consisting of single-qudit rotations and a two-qudit Molmer-Sorensen operation with a two-ququart system, which is formally equivalent to a universal gate-based four-qubit processor. Our results paves a way towards further studies of more efficient implementations of quantum algorithms with trapped-ion-based processors and, specifically, exploring properties of ${}^{171}$Yb${}^{+}$ ion qudits.

11 pages, 5 figures; corrected acknowledgments

References in corpus (19)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Quantum algorithm for solving linear systems of equations
• Quantum computational advantage using photons
• Strong quantum computational advantage using a superconducting quantum processor
• Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
• Towards fault-tolerant quantum computing with trapped ions
• Quantum computing with neutral atoms
• Operating Quantum States in Single Magnetic Molecules: Implementation of Grover's Quantum Algorithm
• Efficient Toffoli Gates Using Qudits
• Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
• Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
• Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities
• Parallelism for Quantum Computation with Qudits
• Generalized Toffoli gates using qudit catalysis
• Low-cost Fredkin gate with auxiliary space
• Time-efficient implementation of quantum search with qudits
• Decomposing the generalized Toffoli gate with qutrits
• Quantum control methods for robust entanglement of trapped ions
• The effect of fast noise on the fidelity of trapped-ions quantum gates

Cited by in corpus (12)

• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Universal quantum computing with qubits embedded in trapped-ion qudits
• Towards multiqudit quantum processor based on a ${}^{171}$Yb${}^{+}$ ion string: Realizing basic quantum algorithms
• Randomised benchmarking for universal qudit gates
• Optimized surface ion trap design for tight confinement and separation of ion chains
• Ground state EIT cooling of ${}^{171}$Yb${}^{+}$ ion
• Two-local modifications of SYK model with quantum chaos
• Supervised binary classification of small-scale digit images and weighted graphs with a trapped-ion quantum processor
• Transpiling quantum assembly language circuits to a qudit form
• A Mathematical Structure for Amplitude-Mixing Error-Transparent Gates for Binomial Codes
• Computable and noncomputable in the quantum domain: statements and conjectures