N-body entangling interactions for trapped ion qubits
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Solution Overview
Problem
As quantum computing systems scale, the complexity of two-qubit gate operations increases, leading to errors due to imperfect control of trapped ion qubits, limiting the size of reliable quantum computers that can perform computations.
Innovation Solution
Generating N-body entangling interactions using qubit state-dependent squeezing forces and displacement forces, which are applied simultaneously, to create robust and efficient entangling gates that are less susceptible to thermal motion and errors.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If two-qubit gate operations are implemented using conventional methods with trapped ions, then quantum entanglement can be achieved, but the complexity of operations increases multiplicatively as system size increases, leading to accumulated errors from imperfect control
Solution Approach 1:
The patent combines multiple gate operations into a single N-body entangling interaction that acts on N qubits simultaneously. Instead of implementing sequential two-qubit gates, the invention creates a unified interaction where all N qubits become entangled in one operation, reducing the total number of separate gate operations required and thereby reducing accumulated errors from imperfect control.
Solution Approach 2:
The patent segments the complex multi-qubit gate operation into distinct controllable components: a global oscillating field for generating the interaction, individual qubit-specific control fields for addressing specific qubits, and a structured sequence of operations. This segmentation allows each component to be optimized independently while maintaining overall system reliability.
2Quantity of substance
If more qubits are added to increase quantum computer size, then computational power increases, but control precision deteriorates due to accumulated errors from imperfect qubit manipulation
Solution Approach 1:
By merging multiple qubit control operations into a single N-body entangling interaction, the patent reduces the number of separate control operations required. This consolidation minimizes the accumulation of control errors that would otherwise occur with sequential operations, thereby maintaining control precision even as the number of qubits increases.
Solution Approach 2:
The patent employs parameter changes by adjusting the frequency and amplitude of oscillating fields to precisely control the N-body interaction. By tuning these parameters, the system can achieve high-fidelity entangling operations across multiple qubits simultaneously, maintaining control precision regardless of system size.
3Productivity
If conventional two-qubit gate operations are used, then quantum computations can be performed, but the number of operations required increases multiplicatively, reducing computational efficiency
Solution Approach 1:
The patent merges multiple sequential two-qubit gate operations into a single parallel N-body entangling interaction. This allows N qubits to become entangled in one operation rather than requiring O(N^2) sequential two-qubit gates, dramatically reducing the total operation time and improving computational efficiency for algorithms requiring multi-qubit entanglement.
Solution Approach 2:
The patent utilizes periodic oscillating fields to drive the N-body entangling interaction. By applying the field at specific frequencies and durations, the system can achieve the desired entanglement in a single periodic cycle rather than requiring multiple sequential operations, thereby reducing total gate operation time.
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 allows for more efficient, faster, and scalable quantum computing operations by leveraging qubit state-dependent squeezing to generate N-body entangling interactions, enabling the creation of effective spin Hamiltonians and quantum gates for complex calculations.
Implementation Method 1
a field generated by an oscillator drives the qubit transition and/or the qubit's collective motion
Implementation Method 2
laser pulses that couple the ions to the collective motional modes of a chain of trapped ions, which arise from their Coulombic interaction between the ions
Implementation Method 3
The ions can be cooled to near their motional ground states using laser interactions
Implementation Method 4
N-body entangling interactions are generated by applications of displacement forces in combination with qubit state-dependent squeezing forces
Data Source
AI summary
Systems and methods for producing N-body entangling interactions to simplify n-gate operations in quantum computing applications are disclosed herein. According to at least some embodiments, an oscillator generates a two-tone field tuned to qubit resonance, first upper motion-induced sidebands, first lower motion-induced sidebands, second upper motion-induced sidebands, and second lower motion-induced sidebands.