Rydberg Atom Array Entangled State Preparation
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Solution Overview
Problem
Current methods for preparing highly entangled quantum states, such as quantum computing and metrology, face challenges in scalability and efficiency, particularly in producing long-range entangled states that cannot be efficiently prepared by unitary processes.
Innovation Solution
A method involving a two-step process of time-evolution under intrinsic atomic interactions followed by measurement in Rydberg atom arrays, allowing for the preparation of various long-range entangled states, including GHZ, toric code, and fracton states with high fidelity, using existing experimental platforms.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If unitary processes are used to prepare entangled quantum states, then the preparation process is controllable and deterministic, but the scalability and efficiency deteriorate for long-range entangled states
Solution Approach 1:
The patent introduces measurement as an intermediary process between state preparation and final quantum state generation. By measuring a subset of qubits (first qubits) after time-evolution, the system projects the remaining qubits (second qubits) into highly entangled states. This measurement-mediated approach enables efficient preparation of long-range entangled states that would be intractable with unitary processes alone.
Solution Approach 2:
The quantum system is divided into two distinct subsets: first qubits that are measured and second qubits that form the final entangled state. This segmentation allows the measurement process to act on only a portion of the system, thereby efficiently generating long-range entanglement in the remaining qubits without requiring full-system control, thus improving scalability.
2Manufacturing precision
If complex quantum gates are applied to prepare highly entangled states, then the state fidelity can be maintained, but the device complexity and operational difficulty increase
Solution Approach 1:
The patent extracts the entanglement generation task from complex multi-qubit gate sequences and concentrates it into a simple time-evolution process under intrinsic atomic interactions. By letting the quantum system evolve naturally and then performing measurements, the method achieves high-fidelity entangled states without requiring complex gate operations, thereby reducing device complexity while maintaining state fidelity.
Solution Approach 2:
The quantum system uses its own intrinsic atomic interactions to generate entanglement during time-evolution, rather than relying on externally controlled complex gates. This self-service approach leverages the natural Hamiltonian dynamics of the system to create the desired entangled states, simplifying the operational requirements and reducing device complexity.
3Manufacturing precision
If longer evolution time is used to prepare cluster states, then the entanglement quality improves, but the preparation time increases
Solution Approach 1:
The patent applies preliminary single-site rotations to put qubits into superposition states before time-evolution. This preliminary action prepares the system in an optimal initial configuration that accelerates entanglement generation during subsequent evolution, achieving high-quality entangled states in shorter times compared to starting from ground states without preliminary preparation.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables the scalable and efficient preparation of high-fidelity long-range entangled states, overcoming the limitations of unitary processes and achieving states with fidelities exceeding 0.99, paving the way for experimental realization of exotic quantum phases.
Implementation Method 1
time-evolution under intrinsic atomic interactions
Implementation Method 2
causing each first and each second qubit to transition into a superposition of the ground qubit state and the excited qubit state
Implementation Method 3
measuring the state of each first qubit, wherein the measuring comprises reversing the single-site rotation
Data Source
AI summary
A method of preparing an entangled state of a plurality of qubits. The method comprises: (i) preparing an array of qubits, each qubit being in a ground qubit state and having an excited qubit state. The array comprises a plurality of first qubits and a plurality of second qubits, each first qubit disposed at a vertex of a first lattice, each second qubit disposed at a vertex of a second lattice, wherein each first qubit has at least one nearest neighbor second qubit, wherein for any two first qubits, a spacing between said first qubits and their respective nearest neighbor second qubits is the same, each first qubit capable of having an Ising interaction with its nearest neighbor second qubit; (ii) causing a single-site rotation of the plurality of the first qubits and of the plurality of the second qubits, thereby causing each first and each second qubit to transition into a superposition of the ground qubit state and the excited qubit state; (iii) evolving the array of qubits for a pre-determined time τ, thereby producing a cluster state of the array of qubits; and (iv) measuring the state of each first qubit, wherein the measuring comprises reversing the single-site rotation of the plurality of the first qubits, thereby preparing an entangled state of the plurality of second qubits.