Quantum logic and entanglement by neutral Rydberg atoms: methods and fidelity

Shi, Xiaojie

doi:10.1088/2058-9565/ac18b8

Cited by 51 publications

(28 citation statements)

References 362 publications

(1,042 reference statements)

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“…Another source of the gate infidelity is the Rydberg blockade error: as the Rydberg interaction strength is proportional to 1/d 6 , the interaction strength within the blockade distance d B is finite, and there is non-zero residual interactions outside. For the interaction strength, V , between a nearest neighbor Rydberg atomic pair, the gate error is given by 2 Ω 2 2V 2 for the initial state |10 AB , |01 AB and 2 Ω 2 8V 2 for |11 AB [33,34]. In addition, the phase shift 2πV2 Ω occurs for the initial state |11 AB , due to the nonzero interactions between atom A and B.…”

Section: Discussionmentioning

confidence: 99%

Rydberg wire gates for universal quantum computation

Jeong¹,

Shi²,

Kim³

et al. 2022

Preprint

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Rydberg atom arrays offer flexible geometries of strongly-interacting neutral atoms, which are useful for many quantum applications such as quantum simulation and quantum computation. Here we consider a gate-based quantum computing scheme for a Rydberg-atom array. We utilize auxiliary atoms which are used as a quantum wire to mediate controllable interactions among data-qubit atoms. We construct universal quantum gates for the data atoms, by using single-atom addressing operations. Standard one-, two-, and multi-qubit solutions are explicitly obtained as respective sequences of pulsed operations acting on individual data and wire atoms. A detailed resource estimate is provided for an experimental implementation of this scheme in a Rydberg quantum simulator.

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Section: Discussionmentioning

confidence: 99%

Rydberg wire gates for universal quantum computation

Jeong¹,

Shi²,

Kim³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Another source of gate infidelity is the Rydberg blockade error: as the Rydberg interaction strength is proportional to 1/d 6 , the interaction strength within the blockade distance d B is finite, and there is nonzero residual interactions outside. For the interaction strength, V, between a nearest neighbor Rydberg atomic pair, the gate error is given by Z 2 Ω 2 2V 2 for the initial state |10〉 AB , |01〉 AB and Z 2 Ω 2 8V 2 for |11〉 AB [37,38]. In addition, the phase shift 2πV2…”

Section: Discussionmentioning

confidence: 99%

Rydberg Wire Gates for Universal Quantum Computation

et al. 2022

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Rydberg atom arrays offer flexible geometries of strongly interacting neutral atoms, which are useful for many quantum applications such as quantum simulation and quantum computation. Here, we consider an all-optical gate-based quantum computing scheme for the Rydberg atom arrays, in which auxiliary atoms (wire atoms) are used as a mean of quantum-mechanical remote-couplings among data-qubit atoms, and optical individual-atom addressing of the data and wire atoms is used to construct universal quantum gates of the data atoms. The working principle of our gates is to use the wire atoms for coupling mediation only, while leaving them in noncoupling ground states before and after each gate operation, which allows the double-excited states of data qubits to be accessible by a sequence of π or π/2 pulses addressing the data and wire atoms. Optical pulse sequences are constructed for standard one-, two-, and multi-qubit gates, and the arbitrary two-qubit state preparation is considered for universal computation prospects. We further provide a detailed resource estimate for an experimental implementation of this scheme in a Rydberg quantum simulator.

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“…1. The states |2 and |3 may be higherexcited states of a superconducting transmon qubit [42] or additional states of the level structure in trapped ions [43] and neutral atoms [44]. We implement the POVM-encoding unitary U on the qudit space through a sequence of pulses that couple adjacent levels.…”

Section: Theorymentioning

confidence: 99%

“…In this work, we conceptualize and implement a measurement scheme for IC-POVMs, which does not require ancilla qubits. Many quantum computing architectures encode qubits in two levels of a larger Hilbert space, e.g., the energetically lowest states of a transmon or two long-lived states of an atom or ion [42][43][44]. We use two additional states in this surrounding qudit space to realize programmable single-qubit POVM measurements.…”

Section: Introductionmentioning

confidence: 99%

Ancilla-free implementation of generalized measurements for qubits embedded in a qudit space

Fischer,

Miller,

Tacchino

et al. 2022

Preprint

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Informationally complete (IC) positive operator-valued measures (POVMs) are generalized quantum measurements that offer advantages over the standard computational basis readout of qubits. For instance, IC-POVMs enable efficient extraction of operator expectation values, a crucial step in many quantum algorithms. POVM measurements are typically implemented by coupling one additional ancilla qubit to each logical qubit, thus imposing high demands on the device size and connectivity. Here, we show how to implement a general class of IC-POVMs without ancilla qubits. We exploit the higher-dimensional Hilbert space of a qudit in which qubits are often encoded. POVMs can then be realized by coupling each qubit to two of the available qudit states, followed by a projective measurement. We develop the required control pulse sequences and numerically establish their feasibility for superconducting transmon qubits through pulse-level simulations. Finally, we present an experimental demonstration of a qudit-space POVM measurement on IBM Quantum hardware. This paves the way to making POVM measurements broadly available to quantum computing applications.

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Quantum logic and entanglement by neutral Rydberg atoms: methods and fidelity

Cited by 51 publications

References 362 publications

Rydberg wire gates for universal quantum computation

Rydberg wire gates for universal quantum computation

Rydberg Wire Gates for Universal Quantum Computation

Ancilla-free implementation of generalized measurements for qubits embedded in a qudit space

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