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FRAGILE SYSTEMS. “Devastated, but resilient is my word of the day. Starting over as if I never had a lab; the hardest day of my life. Throwing away 8 years of work b/c the institution could not turn on the damn generator and of course we were not made aware. No parasite, no cells; backups gone!” Dr. Pascale Guiton@DrGuiton. )Remember Blade Runner 2049 — “wiped clean”?). " "pic.twitter.com/ZF90F4PihU View in LinkedIn

THE END OF COMPLEXITY. “If the circuit continues to run, the complexity will continue to increase until it reaches a maximum. The existence of a maximum follows from the fact that any unitary can be implemented by a circuit with no more than an exponential number of gates.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201500092?casa_token=8OO3b1OY4e4AAAAA%3ARqriAgTwtxnvsxl09CqnNy79m7l4ye7ZrkZxcLtObB9kHsTwYgzBuIV2X-xXQ7ezoR6VQPfQLCS-vnI View in LinkedIn

LIMITS OF COMPLEXITY. “I will assume that over some range of time the complexity does increase linearly. The range cannot be infinite, since as we will see, complexity is bounded, but the time for saturating the bound is exponentially large. On even larger time scales the complexity is quasi‐periodic with an average period equal to the doubly exponential quantum recurrence time.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201500092?casa_token=8OO3b1OY4e4AAAAA%3ARqriAgTwtxnvsxl09CqnNy79m7l4ye7ZrkZxcLtObB9kHsTwYgzBuIV2X-xXQ7ezoR6VQPfQLCS-vnI View in LinkedIn

THE ILLUSION OF LINEARITY. “But that does not necessarily mean that the complexity of the output increases linearly. The complexity is defined as the minimum number of gates needed to do a job; not the number of gates in some particular setup.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201500092?casa_token=8OO3b1OY4e4AAAAA%3ARqriAgTwtxnvsxl09CqnNy79m7l4ye7ZrkZxcLtObB9kHsTwYgzBuIV2X-xXQ7ezoR6VQPfQLCS-vnI View in LinkedIn

LINEAR COMPLEXITY. “In the case of the parallel circuit the number of gates is the product of the width and the depth. By definition it increases linearly with time; i.e., with the depth of the circuit.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201500092?casa_token=8OO3b1OY4e4AAAAA%3ARqriAgTwtxnvsxl09CqnNy79m7l4ye7ZrkZxcLtObB9kHsTwYgzBuIV2X-xXQ7ezoR6VQPfQLCS-vnI View in LinkedIn

DEFINITION. “A quantum computation consists of applying a given unitary operator to a K‐qubit system. The complexity of the task, called , can be simply defined as the minimum number of gates that it takes to implement the unitary operator.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201500092?casa_token=8OO3b1OY4e4AAAAA%3ARqriAgTwtxnvsxl09CqnNy79m7l4ye7ZrkZxcLtObB9kHsTwYgzBuIV2X-xXQ7ezoR6VQPfQLCS-vnI View in LinkedIn

THE ARGUMENT. “But that's hardly the end of the story; the complexity can increase far beyond the Planckian value. This is closely related to the fact that Hawking radiation for old black holes “wells up” out of exponentially small distances. I will argue that the right idea is not exponentially small‐distances, but rather exponentially large complexity.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201500092?casa_token=8OO3b1OY4e4AAAAA%3ARqriAgTwtxnvsxl09CqnNy79m7l4ye7ZrkZxcLtObB9kHsTwYgzBuIV2X-xXQ7ezoR6VQPfQLCS-vnI View in LinkedIn

Spring grass flowers. View in LinkedIn

GRIST FOR THE MILL. “The subconscious mind is not merely a kind of deep seat repository of sunken memories and atavistic desires, but of forces which can, under special circumstances, manifest themselves in the physical world with a force which goes beyond anything which the conscious mind could command.” (Wilson, 1971:445). https://lnkd.in/d4sDpAu View in LinkedIn

COMPLEXITY GRADIENT. “Operators supported on the outer edge of the near‐horizon region—the onion skin—have the minimal complexity. As we peel the onion, the complexity increases. Eventually we get to the Planckian layer where the complexity has increased to a particular value .” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201500092?casa_token=8OO3b1OY4e4AAAAA%3ARqriAgTwtxnvsxl09CqnNy79m7l4ye7ZrkZxcLtObB9kHsTwYgzBuIV2X-xXQ7ezoR6VQPfQLCS-vnI View in LinkedIn