qBank

The most secure way to store and transfer money
Security based on quantum physics rather than on unproved complexity-theoretic conjectures
José Manuel Rodríguez Caballero
Disclaimer: This project is not an an initial coin offering (ICO). The goal is to store and transfer existing money using existing banks, not to create new money.March 22, 2021

Software description of the protocol

A contract between two people is expressed as a statistical correlation. This is related to the idea that spacetime emerges from quantum entanglement.
We assume that a bank stores the money of a community. This money can be justified by gold, dollars, euros, bitcoins or Ethereum’s coins (it is irrelevant the kind of money we store).
In this section we will ignore the hardware difficulties.
1
.
Alice and Bob interact with qBank in an uncorrelated way. Each one uses a secure quantum channel (for sharing exactly one Bell pair) and an insecure classical channel.
2
.
Bob is interested in sending 400 Canadian dollars to Alice.
3
.
Alice and Bob exchange information across a secure classical channel.
4
.
The interactions between Alice and qBank, on the one hand, and Bob and qBank, on the other hand, are now correlated.
5
.
The qBank transfers money from Bob to Alice.
6
.
Once the transfer is complete, Alice and Bob disconnect from the secure classic channel that communicates them.
7
.
Alice and Bob interact with qBank in an uncorrelated way, as in the beginning.
In[]:=
Graph[{"Alice""qBank","Alice""qBank","Bob""qBank","Bob""qBank","Alice""Bob"},EdgeStyle{("Alice""qBank"){Dashed,Green},("Bob""qBank"){Dashed,Green},("Alice""Bob"){Dotted,Red}}]
Out[]=
Communication channels:
◼
  • dashed lines: classical, insecure (1 bit is sent)
    • ◼
  • solid lines: quantum, secure (1 Bell pair is shared)
    • ◼
  • dotted line: classical, secure (1 bit is sent)

    • Proposals for hardware

    We assume that Alice and Bob are close to each other, but they are far from the qBank.

    Channel: classical, insecure

    Either:
    1
    .
    Internet
    2
    .
    Radio waves

    Channel: quantum, secure

    Any device to exchange Bell pairs. This device may be in a tower.

    Channel: classical, secure

    A cable, assuming that Alice’s tower and Bob’s tower are in the same town.

    Example

    Beginning of the experiment. Every 0.01 seconds there is an unintentional transfer.
    In[]:=
    TaskUnintentionalTransfer=SessionSubmit[ScheduledTask[​​qCoinFlipping[];​​eCoinFlipping[];​​UnintentionalTransfer[],​​{Quantity[0.01,"Seconds"],Infinity}]]
    Out[]=
    TaskObject
    Task UUID: 8ef6f502-f9a2-414b-83f5-4cfa3d2a7349
    Task environment: Session
    Task type: Scheduled
    Evaluation expression: qCoinFlipping[];eCoinFlipping[];UnintentionalTransfer[]
    
    End of the experiment.
    In[]:=
    TaskRemove[TaskUnintentionalTransfer]
    Out[]=
    TaskObject
    Task UUID: 8ef6f502-f9a2-414b-83f5-4cfa3d2a7349
    Task environment: Session
    Task type: Scheduled
    Evaluation expression: qCoinFlipping[];eCoinFlipping[];UnintentionalTransfer[]
    
    Disclaimer: In the following examples, all names were generated at random. If some of these names coincide with a real-person name, it is just a coincidence.

    Code of the simulation

    How much money do I have?

    Suppose that the user Jillian Ranieri wants to know how much money he has. He just write his name and his password in the following function.
    In[]:=
    MyMoney["Jillian Ranieri","e259ad6080a93fa2efe637286e13cb1ff9ea5293c08b02afd007be1694a7fc45"]
    Out[]=
    4090

    I transfer money to a friend

    In[]:=
    Transfer["Jillian Ranieri""Cathern Mcgahey",1000,"e259ad6080a93fa2efe637286e13cb1ff9ea5293c08b02afd007be1694a7fc45"];
    Transfer done
    In[]:=
    MyMoney["Jillian Ranieri","e259ad6080a93fa2efe637286e13cb1ff9ea5293c08b02afd007be1694a7fc45"]
    Out[]=
    3689

    I buy something

    Jillian Ranieri is selling food
    In[]:=
    Offer["Jillian Ranieri"]//TableForm
    Out[]//TableForm=
    food
    Almond Brothers, Cinnamon Roasted Almonds
    ,price1112
    food
    GREEK YOGURT CALIFORNIA PEACH
    ,price1455
    food
    PINTO BEANS
    ,price1019
    food
    AHOLD, NATURE'S PROMISE, UNSWEETENED WATER BEVERAGE, LEMON
    ,price1301
    food
    Crystal Farms, American Pasteurized Process Cheese Product
    ,price1438
    Cathern Mcgahey is interested in buying this one
    In[]:=
    Offer["Jillian Ranieri"][[1]][["food"]]
    Out[]=
    Almond Brothers, Cinnamon Roasted Almonds
    Cathern Mcgahey buys a product from Jillian Ranieri
    In[]:=
    Buy["Cathern Mcgahey","Jillian Ranieri",Offer["Jillian Ranieri"][[1]][["food"]],"a1f9e41a3474529a3e80e06a405fbdd8e09042ac1c9b4b8659c0c64b401425b4"]
    Transfer done
    The product will be delivered to your home in 20 minutes

    Global picture

    Steady state

    In[]:=
    MoneyHistory={MoneyArray};​​Do[​​Pause[0.01];​​MoneyHistory=Append[MoneyHistory,MoneyArray]​​,1000];
    In[]:=
    Animate[ListPlot[MoneyHistory[[i]],PlotRange{-100,8000}],{i,1,Length[MoneyHistory],1}]
    In[]:=
    ListPlot[Table[MoneyHistory[[i]][[5]],{i,Length[MoneyHistory]}],PlotRange{-100,8000}]
    Out[]=

    Transfer