Quantum State Transfer via GHZ-like Entanglement Merging
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current methods for encoding a qubit into a multiqubit Greenberger-Horne-Zeilinger-like state are constrained by Lieb-Robinson bounds, limiting the speed at which quantum information can be propagated and entangled, especially in systems with finite-range interactions, resulting in suboptimal performance in quantum computing and sensing applications.
Innovation Solution
A system and method that encode an arbitrary qubit into a multiqubit Greenberger-Horne-Zeilinger-like state by using a processor and memory to apply generalized controlled-phase gates and single-qubit rotations, allowing for the concentration and redistribution of entanglement across hypercubic subsystems, thereby optimizing entanglement generation and state transfer within the limits imposed by Lieb-Robinson bounds.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If quantum information is encoded into multiqubit GHZ-like states using conventional methods, then entanglement is generated, but the encoding speed is limited by Lieb-Robinson bounds
Solution Approach 1:
The quantum system is divided into multiple subsystems, each independently encoding quantum information into local GHZ-like states using nearest-neighbor interactions. This segmentation allows parallel processing across subsystems, accelerating the overall encoding speed while respecting Lieb-Robinson bounds within each subsystem.
Solution Approach 2:
After individual subsystems generate their GHZ-like states, a generalized controlled-phase gate merges these states into a global entangled state. This merging step combines the results from multiple subsystems to achieve the desired multiqubit GHZ-like state, effectively parallelizing the encoding process to overcome speed limitations.
2Speed
If quantum information is propagated through the quantum system, then state transfer is achieved, but transfer speed is constrained by interaction range
Solution Approach 1:
The system utilizes hypercubic geometry for subsystem organization, enabling quantum information to propagate through multiple spatial dimensions simultaneously. This dimensional approach allows state transfer to occur faster than linear distance would suggest, effectively overcoming the constraints of finite interaction ranges by exploiting the geometric structure of the quantum system.
Data Source
AI summary
A system for quantum state transfer and entanglement generation includes a quantum system including a plurality of qubits, a processor, and a memory. The memory includes instructions stored thereon, which, when executed by the processor, cause the quantum system to: access a signal of the quantum system; encode unknown coefficients in one qubit of the plurality of qubits; initialize each of the remaining qubits of the plurality of qubits in state |0; group the plurality of qubits into a plurality of subsystems; in each of the plurality of subsystems: encode quantum information into Greenberger-Horne-Zeilinger-like (GHZ-like) states using nearest-neighbor interactions; and apply a generalized controlled-phase gate between the plurality of subsystems to merge the GHZ-like states into an entangled state between of the plurality of subsystems.