Hardware used in AlphaZero vs Stockfish match I understand that AlphaZero has to use a different kind of hardware than regular Stockfish. I would expect that the hardware has a large effect on engine strength. That's why I wonder whether there have been any attempts made to provide comparable hardware to both. Also what would "comparable" mean here?

Specifically I read that people complain about:


Stockfish being given only 1 GB of cache, and
the time limit of 1 min/move (How would this disadvantage Stockfish?)
That's why I wonder whether there have been any attempts made to
  provide comparable hardware to both.


This is Google you're talking about! So the answer is obviously "No".

From the original paper hardware used for initialising and training -


  Training proceeded for 700,000 steps (mini-batches of size 4,096)
  starting from randomly initialised parameters, using 5,000
  first-generation TPUs (15) to generate self-play games and 64
  second-generation TPUs to train the neural networks


and hardware used for the games -


  AlphaZero and the previous AlphaGo Zero used a single machine with 4
  TPUs Stockfish and Elmo played at their strongest skill level using 64
  threads and a hash size of 1GB.


So, AlphaZero used special hardware developed by Google. It used specialized Tensor Processor Units (TPUs) rather than general Central Processing Units (CPUs) as are available commercially.

This is how Wikipedia describes the second generation TPUs they used -


  The second generation TPU was announced in May 2017. Google stated the
  first generation TPU design was memory bandwidth limited, and using 16
  GB of High Bandwidth Memory in the second generation design increased
  bandwidth to 600 GB/s and performance to 45 TFLOPS. The TPUs are then
  arranged into 4-chip 180 TFLOPS modules


They used 4 TPUs for the games, so a processing power of 180 TFLOPS.
Note TFLOPS = 1000 billion floating point operations per second.

For comparison Intel's latest most powerful chip is the Core i9 Extreme Edition processor which clocks in at 1 TFLOP. A top of the line I7 that you would find in a gaming machine would typically be about 100 GFLOPs (i.e. one tenth of a TFLOP).

I think it's fair to say that AlphaZero was using an 800 pound gorilla of a hardware configuration compared to Stockfishes mouse.