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Annealing Machines

From PoCs to real-world problems, high performance annealing machines are available now

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Available Machines

Fixstars Amplify can run on a various quantum annealing Ising machines. Standard machines are available as a service of Amplify without machine usage agreements with vendors.

amplify-engine
STANDARD FEATURE

Fixstars Amplify AE

Fixstars Amplify Annealing Engine (AE) is a Graphics Processing Unit (GPU)-based annealing machine. It can process large-scale problems consisting of more than 100,000 bits at high speed.  Although it is not based on quantum mechanical phenomena, it provides an ideal platform for easy PoC and development for practical applications, utilized for quantum annealing.

See Performance

STANDARD FEATURE

D-Wave 2000Q / Advantage

D-Wave Systems' D-Wave 2000Q and Advantage are quantum computers specialized for solving combinatorial optimization problems. The D-Wave 2000Q has 2000 qubits and the Advantage has 5000. The machines can be used on the cloud.

D-Wave Systems In. decoration
Bring Your Own License supported

How to use the D-Wave Free Program

Fujitsu

Digital Annealer

Official website decoration

Toshiba Digital Solutions

SQBM+

Official website decoration

Hitachi, Ltd.

CMOS Annealing Machine

Official website decoration

IBM

IBM Quantum
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Qulacs

Qulacs
Official website decoration

Fixstars Amplify AE Performance

We solved the Traveling Salesman Problems (TSP), typical combinatorial optimization problems, to test performances of Amplify AE and other annealing machines. It is seen that Amplify AE quickly reaches the optimal solutions.

Annealing time to reach 101% optimization.
1.0 sec
Known best solution: 426 (route distance)
Best solution by Amplify AE: 426 (route distance)

Optimization level reached at 60 seconds: 100%

  • Library used: TSP LIB eil51 decoration
  • Solving the Traveling Salesman Problem by formulating QUBO polynomials.
  • Average of 100 sample points plotted over time.

For more details of the problem formulation, see here decoration.

Annealing time to reach 105% optimization.
3.0 sec
Known best solution: 108159 (route distance)
Best solution by Amplify AE: 108234 (route distance)

Optimization level reached at 60 seconds: 101%

  • Library used: TSP LIB pr76 decoration
  • Solving the Traveling Salesman Problem by formulating QUBO polynomials.
  • Average of 100 sample points plotted over time.

For more details of the problem formulation, see here decoration.

Ising machine comparison

STANDARD
FEATURE
Fixstars
Amplify AE
STANDARD
FEATURE
D-Wave
2000Q/
Advantage
Hitachi
CMOS Annealing 		Fujitsu
Digital Annealer 		Toshiba
SQBM+
Device Type GPU Quantum Circuit Digital Circuit Digital Circuit GPU
Number of Available Bits 262,144 or greater 2,048 (16x16x8)/
5,760 (16x15x24) 		61,952 (352x176) 8,192 (DA2)/
100,000 (DA3) 		100,000 (SQBM+)/
10,000 (SBM PoC Edition)
Coefficient Parameter Digital
(32/64bit) 		Analog
(Approx. 5bit) 		Digital
(3bit) 		Digital
(16/64 bit) 		Digital
(32bit)
Connected Graph Fully connected Chimera graph/
Pegasus graph 		King's graph Fully connected Fully connected
Number of Logical Bits 131,072 64/124 176 8,192 (DA2)/
100,000 (DA3) 		31,000 approx. (SQBM+)(*1)/
1,000 (SBM PoC Edition)
API endpoint Fixstars Amplify D-Wave Leap Annealing
Cloud Web 		DA Cloud AWS

* For specifications of the Toshiba SQBM+ product version, please contact at the official Toshiba SQBM+ website decoration .

(*1) The value estimated from the description on the official website of SQBM+. "The number of non-zero coefficients is up to 1 billion."

As of 2022 June

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