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Design and analysis of communication protocols for quantum repeater networks

MetadataDetails
Publication Date2016-08-03
JournalNew Journal of Physics
AuthorsCody Jones, Danny Kim, Matthew T. Rakher, Paul G. Kwiat, Thaddeus D. Ladd
InstitutionsUniversity of Illinois Urbana-Champaign, HRL Laboratories (United States)
Citations86
AnalysisFull AI Review Included

Technical Documentation & Analysis: MPCVD Diamond for Quantum Repeater Networks

Section titled “Technical Documentation & Analysis: MPCVD Diamond for Quantum Repeater Networks”

This analysis of quantum repeater protocols (arXiv:1505.01536v1) confirms that the performance of next-generation quantum networks is critically dependent on high-specification hardware, particularly high-purity diamond materials.

  • Protocol Superiority: The MidpointSource protocol is identified as the most robust scheme, achieving communication rates orders of magnitude higher than alternatives (MeetInTheMiddle, SenderReceiver) when the “fast-clock” condition (Tclock << Tlink/NK) is satisfied.
  • Diamond NV Center Requirements: Simulations using parameters for Diamond Nitrogen-Vacancy (NV) centers require a fast clock cycle (100 ns) and high collection efficiency (up to 50%) to achieve competitive entanglement distribution rates.
  • Material Trade-Offs: The paper highlights a crucial trade-off: MidpointSource requires fewer memory qubits but more complex optical components (two BSAs, entangled photon source). This necessitates high-quality, low-loss optical materials.
  • Critical Performance Metrics: Successful network scaling relies on memory/photon interfaces achieving high transmission probability (Poptical) and low-loss Bell-State Analyzer (BSA) success probability (PBBSA = 0.24 modeled).
  • 6CCVD Value Proposition: 6CCVD specializes in the high-purity Single Crystal Diamond (SCD) required to maximize NV center spin coherence and minimize optical loss, directly addressing the core hardware limitations identified in the research.

The following parameters, extracted from the analysis and hardware-specific simulations (Table I), define the performance envelope for quantum repeater components, particularly the Diamond NV center platform.

ParameterValueUnitContext
Required Memory Coherence TimeOrder 10msNecessary for long-lived quantum memory storage.
Required Error per Gate< 0.1%Necessary for low-error quantum gates.
Optical Fiber Attenuation Length (Latt)22kmStandard silica fiber (0.2 dB/km).
Bell-State Analyzer (BSA) Success (PBBSA)0.24-Modeled using SNSPDs (Quantum Efficiency 0.80).
Diamond NV Center Cycle Time (Tclock)100nsHardware-specific clock rate (Table I).
Diamond NV Center Emission Fraction0.05-Fraction emitted into the zero-phonon line.
Diamond NV Center Collection Efficiency0.50-Assumed maximum transmission probability (Poptical).
Quantum Dot Cycle Time (Tclock)10nsFastest clock rate simulated, demonstrating fast-clock advantage.
Entanglement Fidelity (End-to-End)> 0.99-Target fidelity for QKD applications (after purification).

The research employed numerical simulations to compare the communication rates of three distinct entanglement distribution protocols under varying hardware constraints.

  1. Protocol Definition: Three protocols were analyzed: MeetInTheMiddle (MITM), SenderReceiver (SR), and MidpointSource (MPS). MPS, which uses an entangled photon source at the link midpoint and internal BSAs at the repeaters, proved most robust to photon loss.
  2. Hardware Modeling: Repeaters were modeled based on key performance parameters: photon generation rate, collection efficiency (Poptical), memory qubit capacity (N), and clock cycle time (Tclock).
  3. Error Management: Entangled pairs were purified using the decoding circuit of the [[7,1,3]] Steane code, assuming ideal local gates and memory.
  4. Simulation Platforms: Two sets of simulations were run:
    • Optimistic/Pessimistic: Used idealized parameters (N=100, Tclock=1 ns) to test protocol limits under high and low transmission probabilities.
    • Hardware-Specific: Used realistic, experimentally motivated parameters (Table I) for Trapped Ions (1 ”s Tclock), Diamond NV Centers (100 ns Tclock), and Quantum Dots (10 ns Tclock).
  5. Performance Metric: The primary output was the communication rate, measured in end-to-end entangled qubit pairs per second (ebits/sec), achieved across a 10-link chain (or single link for hardware-specific tests).

The successful implementation of high-performance quantum repeater networks, particularly those leveraging the robust MidpointSource protocol, demands ultra-high-quality diamond materials and precision fabrication capabilities. 6CCVD is uniquely positioned to supply the necessary components.

The paper’s reliance on Diamond NV centers for quantum memory requires diamond substrates optimized for spin coherence and low optical loss.

  • Optical Grade Single Crystal Diamond (SCD): To replicate or extend the NV center research, high-purity SCD is essential. 6CCVD provides SCD with extremely low nitrogen and defect concentrations, maximizing the T2 coherence time of the NV spin qubit, which is critical for the required 10 ms memory lifetime.
  • Substrate Thickness and Size: The integration of NV centers into complex optical cavities and interfaces necessitates precise substrate dimensions. 6CCVD offers custom SCD thicknesses from 0.1 ”m up to 500 ”m, and substrates up to 10 mm thick for robust mechanical integration.

The complex optical interfaces (BSAs, memory/photon coupling) and the need for fast clock rates demand precision engineering beyond standard wafers.

Research Requirement6CCVD CapabilityTechnical Advantage
Low Optical Loss (Poptical)Ultra-low roughness polishing (Ra < 1 nm for SCD).Minimizes scattering loss at critical interfaces, boosting Poptical and communication rate.
Integrated Optical ComponentsCustom Metalization (Au, Pt, Pd, Ti, W, Cu).Enables direct fabrication of electrical contacts, waveguides, or reflective coatings onto diamond surfaces for integrated photonics.
Custom DimensionsPlates/wafers up to 125 mm (PCD) and custom laser cutting.Supports large-scale network prototyping and integration of multiple memory qubits (N=100 simulated).
Cavity IntegrationSCD thickness control (0.1 ”m to 500 ”m).Allows precise tuning of diamond membranes for coupling NV centers to photonic crystal cavities, essential for achieving high collection efficiency (50%).

The analysis shows that selecting the optimal protocol (e.g., MidpointSource vs. MeetInTheMiddle) depends heavily on the achievable Tclock and Poptical of the quantum memory platform.

6CCVD’s in-house PhD team specializes in the material science of MPCVD diamond for quantum applications. We offer consultation services to assist researchers in:

  • Material Selection: Determining the optimal SCD grade (e.g., high-purity, low-strain) to maximize NV center performance and satisfy the stringent Tclock requirements of the MidpointSource protocol.
  • Interface Optimization: Designing custom metalization stacks and polishing specifications to minimize coupling losses between the diamond memory and the optical fiber link.
  • Global Logistics: Ensuring reliable, globally shipped (DDU default, DDP available) components, minimizing delays in critical quantum network development timelines.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

We analyze how the performance of a quantum-repeater network depends on the protocol employed to distribute entanglement, and we find that the choice of repeater-to-repeater link protocol has a profound impact on communication rate as a function of hardware parameters. We develop numerical simulations of quantum networks using different protocols, where the repeater hardware is modeled in terms of key performance parameters, such as photon generation rate and collection efficiency. These parameters are motivated by recent experimental demonstrations in quantum dots, trapped ions, and nitrogen-vacancy centers in diamond. We find that a quantum-dot repeater with the newest protocol (“MidpointSource”) delivers the highest communication rate when there is low probability of establishing entanglement per transmission, and in some cases the rate is orders of magnitude higher than other schemes. Our simulation tools can be used to evaluate communication protocols as part of designing a large-scale quantum network.